Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37620h |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
573182082000 = 24 · 38 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748,-41803] |
[a1,a2,a3,a4,a6] |
Generators |
[59:38:1] |
Generators of the group modulo torsion |
j |
196755275776/49141125 |
j-invariant |
L |
4.0285140918886 |
L(r)(E,1)/r! |
Ω |
0.67147211628853 |
Real period |
R |
2.9997627557163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540f1 |
Quadratic twists by: -3 |