Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116365b |
Isogeny class |
Conductor |
116365 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3429414061429625 = 53 · 172 · 377 |
Discriminant |
Eigenvalues |
1 0 5+ -4 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9759144695,-371076023428704] |
[a1,a2,a3,a4,a6] |
Generators |
[-1434993079165277922002364321844886915482630868310382026647908518680773746633232106227586864127562829014023563951913656602769235853317536897639757631272573160112975273291832042109777431772619789769211843999226405039098197489284126186312370:717494345125505463078933518584979381709672519992421131374693772250057909052394202021279709117628447993604526014287989862477714293245289390118614603235030857573363742212220244153703597609971459770316399683896224477328679151627398106590127:25159757905425128543038151477517400572589283154007657379111473605868835951761210989716656398138307381295867671131018681770316468424913295337965845704534268129592011249449983243530739952598078128550653240239562772913994653920743973000] |
Generators of the group modulo torsion |
j |
40063477130081021954528001/1336625 |
j-invariant |
L |
5.452658063972 |
L(r)(E,1)/r! |
Ω |
0.015189609723124 |
Real period |
R |
358.97288760955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3145c3 |
Quadratic twists by: 37 |