Atkin-Lehner |
2- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
89780f |
Isogeny class |
Conductor |
89780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
152460 |
Modular degree for the optimal curve |
Δ |
7236670573520 = 24 · 5 · 676 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5985,-120538] |
[a1,a2,a3,a4,a6] |
j |
16384/5 |
j-invariant |
L |
2.5005014377482 |
L(r)(E,1)/r! |
Ω |
0.55566699748259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20a2 |
Quadratic twists by: -67 |