Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150cg |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
2133816720000000 = 210 · 3 · 57 · 75 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-137438,-19496508] |
[a1,a2,a3,a4,a6] |
j |
18374873741826841/136564270080 |
j-invariant |
L |
4.9613219312546 |
L(r)(E,1)/r! |
Ω |
0.24806609656273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450y1 4830f1 |
Quadratic twists by: -3 5 |