Atkin-Lehner |
2+ 3+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117576a |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-1098660243456 = -1 · 211 · 33 · 234 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 3 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1341,-46754] |
[a1,a2,a3,a4,a6] |
Generators |
[274:1587:8] |
Generators of the group modulo torsion |
j |
4822989642/19868711 |
j-invariant |
L |
3.2880769935059 |
L(r)(E,1)/r! |
Ω |
0.4411985957709 |
Real period |
R |
1.8631502047342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999311149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117576g1 |
Quadratic twists by: -3 |