Atkin-Lehner |
2- 3- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258be |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
62446271495021568 = 210 · 35 · 74 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-731346,-240491772] |
[a1,a2,a3,a4,a6] |
j |
43260588239243277738529/62446271495021568 |
j-invariant |
L |
8.1635015913355 |
L(r)(E,1)/r! |
Ω |
0.16327003182672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774q1 |
Quadratic twists by: -3 |