Atkin-Lehner |
2- 7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90454n |
Isogeny class |
Conductor |
90454 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
7747246886288 = 24 · 79 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 2 4 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24011,-1435799] |
[a1,a2,a3,a4,a6] |
j |
13012697849761/65850512 |
j-invariant |
L |
12.276629853815 |
L(r)(E,1)/r! |
Ω |
0.38364468627686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12922d1 |
Quadratic twists by: -7 |