Atkin-Lehner |
2+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688g |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-9023508108541952 = -1 · 220 · 233 · 294 |
Discriminant |
Eigenvalues |
2+ 0 0 4 -2 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19660,-4691856] |
[a1,a2,a3,a4,a6] |
Generators |
[3048:168084:1] |
Generators of the group modulo torsion |
j |
-3205784543625/34421951708 |
j-invariant |
L |
5.765528309605 |
L(r)(E,1)/r! |
Ω |
0.17472265615244 |
Real period |
R |
2.74984769032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42688n1 1334b1 |
Quadratic twists by: -4 8 |