Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218ci |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
11890374912 = 28 · 36 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-695,4879] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] |
Generators of the group modulo torsion |
j |
23149125/7424 |
j-invariant |
L |
9.5567073745238 |
L(r)(E,1)/r! |
Ω |
1.1736607444644 |
Real period |
R |
1.0178311137727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9802c1 88218bh1 |
Quadratic twists by: -3 13 |