Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
95400bc |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-3709152000000 = -1 · 211 · 37 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 0 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,-126250] |
[a1,a2,a3,a4,a6] |
j |
-235298/159 |
j-invariant |
L |
2.3810271971802 |
L(r)(E,1)/r! |
Ω |
0.29762839600529 |
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 |
31800a1 3816b1 |
Quadratic twists by: -3 5 |