Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dk |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
11813688320 = 210 · 5 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15965,781757] |
[a1,a2,a3,a4,a6] |
j |
439498833516544/11536805 |
j-invariant |
L |
2.3598817620941 |
L(r)(E,1)/r! |
Ω |
1.1799408840043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440bv1 17360a1 |
Quadratic twists by: -4 8 |