Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600cf |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-7176093750000 = -1 · 24 · 38 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69375,7034375] |
[a1,a2,a3,a4,a6] |
j |
-324179200/63 |
j-invariant |
L |
2.8940739638268 |
L(r)(E,1)/r! |
Ω |
0.72351849095671 |
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 |
25200bj1 100800ga1 4200f1 12600bd1 |
Quadratic twists by: -4 8 -3 5 |