Atkin-Lehner |
2- 5+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107300k |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
140998906250000 = 24 · 510 · 293 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 2 4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25625,-1471875] |
[a1,a2,a3,a4,a6] |
j |
11909548800/902393 |
j-invariant |
L |
4.5497910146326 |
L(r)(E,1)/r! |
Ω |
0.37914921422338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107300p1 |
Quadratic twists by: 5 |