Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400k |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1018368 |
Modular degree for the optimal curve |
Δ |
-49424013000000000 = -1 · 29 · 313 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1503408,-709097688] |
[a1,a2,a3,a4,a6] |
j |
-46974761601263432/6178001625 |
j-invariant |
L |
0.1363411110536 |
L(r)(E,1)/r! |
Ω |
0.068170565078694 |
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 |
74400cl1 14880n1 |
Quadratic twists by: -4 5 |