Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600t |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-216341265625000000 = -1 · 26 · 512 · 614 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3876008,-2938520762] |
[a1,a2,a3,a4,a6] |
j |
-6439880646461859904/216341265625 |
j-invariant |
L |
0.86078052540058 |
L(r)(E,1)/r! |
Ω |
0.053798790019709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600q1 48800c2 19520m1 |
Quadratic twists by: -4 8 5 |