Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640d |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-1743270628864000 = -1 · 212 · 53 · 237 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 2 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66301,6893301] |
[a1,a2,a3,a4,a6] |
j |
-53157376/2875 |
j-invariant |
L |
3.7248902657474 |
L(r)(E,1)/r! |
Ω |
0.46561129121326 |
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 |
84640n1 3680c1 |
Quadratic twists by: -4 -23 |