Atkin-Lehner |
2- 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072ck |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
449884274688 = 214 · 35 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 6 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2517,37197] |
[a1,a2,a3,a4,a6] |
j |
107677745152/27458757 |
j-invariant |
L |
2.6370135561275 |
L(r)(E,1)/r! |
Ω |
0.87900452931277 |
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 |
75072bq1 18768bc1 |
Quadratic twists by: -4 8 |