Atkin-Lehner |
2+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
9968a |
Isogeny class |
Conductor |
9968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-10722059264 = -1 · 210 · 76 · 89 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 0 4 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2856,-58016] |
[a1,a2,a3,a4,a6] |
j |
-2516809936036/10470761 |
j-invariant |
L |
1.3057775697947 |
L(r)(E,1)/r! |
Ω |
0.32644439244868 |
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 |
4984b1 39872x1 89712c1 69776a1 |
Quadratic twists by: -4 8 -3 -7 |