Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312bu |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
593820205056 = 214 · 33 · 134 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 -3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2101,877] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:169:1] |
Generators of the group modulo torsion |
j |
62630895616/36243909 |
j-invariant |
L |
2.4013112514338 |
L(r)(E,1)/r! |
Ω |
0.77503611386405 |
Real period |
R |
1.5491608987119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998586534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312t1 29328u1 |
Quadratic twists by: -4 8 |