Atkin-Lehner |
3- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12627b |
Isogeny class |
Conductor |
12627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-82845747 = -1 · 310 · 23 · 61 |
Discriminant |
Eigenvalues |
0 3- 2 1 3 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-354,-2601] |
[a1,a2,a3,a4,a6] |
j |
-6729859072/113643 |
j-invariant |
L |
2.1990917244023 |
L(r)(E,1)/r! |
Ω |
0.54977293110059 |
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 |
4209a1 |
Quadratic twists by: -3 |