Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72200bc |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1395360 |
Modular degree for the optimal curve |
Δ |
-1.35868504328E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -1 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4286875,-3420926250] |
[a1,a2,a3,a4,a6] |
Generators |
[2250058757393058191682717045563493032767084489956765233951795134034230:56987529321152489999798420194922212869391867396465122366095378644869504:833601034392064789515096298951340644376660730867899987109700646375] |
Generators of the group modulo torsion |
j |
-641250 |
j-invariant |
L |
5.7418069663887 |
L(r)(E,1)/r! |
Ω |
0.052455829406517 |
Real period |
R |
109.45984519454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72200a1 72200q1 |
Quadratic twists by: 5 -19 |