Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200fj |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1116281250000 = 24 · 36 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18000,-928125] |
[a1,a2,a3,a4,a6] |
Generators |
[14244:157941:64] |
Generators of the group modulo torsion |
j |
28311552/49 |
j-invariant |
L |
5.2803403970847 |
L(r)(E,1)/r! |
Ω |
0.41221764420325 |
Real period |
R |
6.404796678816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6300s1 100800pe1 2800bc1 25200ev1 |
Quadratic twists by: -4 8 -3 5 |