Atkin-Lehner |
2+ 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bb |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-17962750080000 = -1 · 210 · 33 · 54 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,124,-203902] |
[a1,a2,a3,a4,a6] |
Generators |
[513:11359:1] |
Generators of the group modulo torsion |
j |
341297975/28740400128 |
j-invariant |
L |
5.5187331917379 |
L(r)(E,1)/r! |
Ω |
0.31772708372707 |
Real period |
R |
1.4474511530736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999769807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150bh1 |
Quadratic twists by: 5 |