Atkin-Lehner |
2+ 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39494b |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
594742989568 = 28 · 78 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2280,19254] |
[a1,a2,a3,a4,a6] |
j |
227232313/103168 |
j-invariant |
L |
1.644723960053 |
L(r)(E,1)/r! |
Ω |
0.82236198003535 |
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 |
39494f1 |
Quadratic twists by: -7 |