Atkin-Lehner |
3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64251bd |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
534072 |
Modular degree for the optimal curve |
Δ |
-1115594569513611 = -1 · 36 · 1110 · 59 |
Discriminant |
Eigenvalues |
-2 3- -3 -1 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-131769,18480602] |
[a1,a2,a3,a4,a6] |
j |
-13381632/59 |
j-invariant |
L |
0.49180783052211 |
L(r)(E,1)/r! |
Ω |
0.49180783058264 |
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 |
7139a1 64251bc1 |
Quadratic twists by: -3 -11 |