Atkin-Lehner |
5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
45325b |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
325080 |
Modular degree for the optimal curve |
Δ |
2082984736328125 = 510 · 78 · 37 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ 3 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-71458,-7040631] |
[a1,a2,a3,a4,a6] |
j |
716800/37 |
j-invariant |
L |
7.9093609001137 |
L(r)(E,1)/r! |
Ω |
0.29293929259642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45325o1 45325l1 |
Quadratic twists by: 5 -7 |