Atkin-Lehner |
2- 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130y |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
145247846400 = 214 · 32 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6621,206001] |
[a1,a2,a3,a4,a6] |
Generators |
[30:171:1] |
Generators of the group modulo torsion |
j |
32099522743906129/145247846400 |
j-invariant |
L |
9.6861594311287 |
L(r)(E,1)/r! |
Ω |
1.0365762764558 |
Real period |
R |
0.33372774705998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390p1 |
Quadratic twists by: -3 |