Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650dn |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
40642560 |
Modular degree for the optimal curve |
Δ |
-2.4653456587069E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 7 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185535005,-975600535003] |
[a1,a2,a3,a4,a6] |
j |
-62008858471273416662401/216436381560000000 |
j-invariant |
L |
7.3616443577802 |
L(r)(E,1)/r! |
Ω |
0.020449012596253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550u1 19530s1 |
Quadratic twists by: -3 5 |