Atkin-Lehner |
2+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616l |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
611776 = 26 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 3 3 -5 11- 7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91,332] |
[a1,a2,a3,a4,a6] |
j |
1302170688/9559 |
j-invariant |
L |
5.8166515586787 |
L(r)(E,1)/r! |
Ω |
2.9083257788316 |
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 |
55616h1 27808a1 |
Quadratic twists by: -4 8 |