Atkin-Lehner |
3+ 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
70725i |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
866736 |
Modular degree for the optimal curve |
Δ |
-36329847169066875 = -1 · 313 · 54 · 232 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 4 0 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1542633,-737009107] |
[a1,a2,a3,a4,a6] |
j |
-649578779611227750400/58127755470507 |
j-invariant |
L |
1.2191974767589 |
L(r)(E,1)/r! |
Ω |
0.06773319306567 |
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 |
70725n1 |
Quadratic twists by: 5 |