Atkin-Lehner |
3- 11- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23529h |
Isogeny class |
Conductor |
23529 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-691823187 = -1 · 36 · 113 · 23 · 31 |
Discriminant |
Eigenvalues |
0 3- 2 0 11- 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27,-1276] |
[a1,a2,a3,a4,a6] |
Generators |
[12:16:1] |
Generators of the group modulo torsion |
j |
-2258403328/691823187 |
j-invariant |
L |
6.343426365861 |
L(r)(E,1)/r! |
Ω |
0.72075802115745 |
Real period |
R |
0.48894714389058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70587d1 |
Quadratic twists by: -3 |