Atkin-Lehner |
2+ 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
7968b |
Isogeny class |
Conductor |
7968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
2892718656 = 26 · 38 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2242,-40040] |
[a1,a2,a3,a4,a6] |
j |
19482480805312/45198729 |
j-invariant |
L |
3.1224649145463 |
L(r)(E,1)/r! |
Ω |
0.6938810921214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7968g1 15936j2 23904r1 |
Quadratic twists by: -4 8 -3 |