Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116365b |
Isogeny class |
Conductor |
116365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.5838405698584E+21 |
Discriminant |
Eigenvalues |
1 0 5+ -4 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-609946570,-5797947967329] |
[a1,a2,a3,a4,a6] |
Generators |
[-760533945359095889078277739319150671600284167458159366167713611277568828387782298744400138356405677108271776077060570:355733025987616219664331712445062787609157330471957397739688579508658708493047649308920043149240807805444807476980347:53323355055059552487586468084773650032119436147333376515750840855114157562167054563927195451804214823521229753000] |
Generators of the group modulo torsion |
j |
9781123632539052158001/1786566390625 |
j-invariant |
L |
5.452658063972 |
L(r)(E,1)/r! |
Ω |
0.030379219446249 |
Real period |
R |
179.48644380478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3145c2 |
Quadratic twists by: 37 |