Atkin-Lehner |
2- 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88816r |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135936 |
Modular degree for the optimal curve |
Δ |
3122060032 = 28 · 7 · 134 · 61 |
Discriminant |
Eigenvalues |
2- 3 -4 7- -5 13- 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-367,-310] |
[a1,a2,a3,a4,a6] |
j |
21354132816/12195547 |
j-invariant |
L |
4.7241753036351 |
L(r)(E,1)/r! |
Ω |
1.181043887094 |
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 |
22204a1 |
Quadratic twists by: -4 |