Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200ep |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-28481916093750000 = -1 · 24 · 312 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148125,23396875] |
[a1,a2,a3,a4,a6] |
j |
-3155449600/250047 |
j-invariant |
L |
2.1975134967776 |
L(r)(E,1)/r! |
Ω |
0.36625224946296 |
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 |
6300g1 100800nm1 8400ch1 25200fe1 |
Quadratic twists by: -4 8 -3 5 |