Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bo |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
304676464702500 = 22 · 33 · 54 · 11 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25583,-1334482] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:472:1] |
Generators of the group modulo torsion |
j |
76711450249/12622500 |
j-invariant |
L |
5.0253046841363 |
L(r)(E,1)/r! |
Ω |
0.3817106528317 |
Real period |
R |
0.54855083081363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999728305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610e1 |
Quadratic twists by: 17 |