Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bh |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
356590080 |
Modular degree for the optimal curve |
Δ |
-1.8769843076145E+35 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3045865200,-20844453751483968] |
[a1,a2,a3,a4,a6] |
Generators |
[7495012442596105387986:54442693981416378774049578:142048716869233] |
Generators of the group modulo torsion |
j |
-762949514912708039797646866801/45824812197620141357267649822720 |
j-invariant |
L |
5.7577686783788 |
L(r)(E,1)/r! |
Ω |
0.0046104113403797 |
Real period |
R |
34.690618045956 |
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 |
3990ba1 127680fg1 95760du1 |
Quadratic twists by: -4 8 -3 |