Atkin-Lehner |
2- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65758x |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
783552 |
Modular degree for the optimal curve |
Δ |
-4269977216755712 = -1 · 211 · 710 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3 2 7- 11- 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56874,-6079895] |
[a1,a2,a3,a4,a6] |
j |
-72024039297/15116288 |
j-invariant |
L |
13.451299947061 |
L(r)(E,1)/r! |
Ω |
0.15285568128407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65758l1 |
Quadratic twists by: -7 |