Atkin-Lehner |
3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251c |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
341473697433 = 33 · 118 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54110,4858076] |
[a1,a2,a3,a4,a6] |
j |
366293248875/7139 |
j-invariant |
L |
1.7689352418086 |
L(r)(E,1)/r! |
Ω |
0.88446762044736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64251g1 5841a1 |
Quadratic twists by: -3 -11 |