Atkin-Lehner |
2+ 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234j |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
185760 |
Modular degree for the optimal curve |
Δ |
381914950144 = 29 · 72 · 135 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-133816,18785600] |
[a1,a2,a3,a4,a6] |
Generators |
[211:-103:1] |
Generators of the group modulo torsion |
j |
5408250944666309593/7794182656 |
j-invariant |
L |
2.2325915972707 |
L(r)(E,1)/r! |
Ω |
0.80876697329516 |
Real period |
R |
2.760488089975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234c1 |
Quadratic twists by: -7 |