Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136g |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
289254654976 = 210 · 710 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -3 -6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-63671] |
[a1,a2,a3,a4,a6] |
j |
12544 |
j-invariant |
L |
0.63790749332656 |
L(r)(E,1)/r! |
Ω |
0.63790749332656 |
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 |
3136w1 392b1 28224br1 78400bf1 |
Quadratic twists by: -4 8 -3 5 |