Atkin-Lehner |
2- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38950u |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
81216047200 = 25 · 52 · 195 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 2 4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30153,2002711] |
[a1,a2,a3,a4,a6] |
j |
121276369281743545/3248641888 |
j-invariant |
L |
4.0214042304327 |
L(r)(E,1)/r! |
Ω |
1.0053510576103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
38950n2 |
Quadratic twists by: 5 |