Atkin-Lehner |
2+ 5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550r |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
219520 |
Modular degree for the optimal curve |
Δ |
13022273687500 = 22 · 56 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11+ -3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22151,-1258802] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:142:1] |
Generators of the group modulo torsion |
j |
76922876001889/833425516 |
j-invariant |
L |
5.2660777369526 |
L(r)(E,1)/r! |
Ω |
0.39159564104907 |
Real period |
R |
0.96055310733126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542j1 |
Quadratic twists by: 5 |