Atkin-Lehner |
2- 3- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25404g |
Isogeny class |
Conductor |
25404 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
2990383287552 = 28 · 38 · 293 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 1 -2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4453,77015] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-261:1] |
Generators of the group modulo torsion |
j |
38153936896000/11681184717 |
j-invariant |
L |
6.0028650689512 |
L(r)(E,1)/r! |
Ω |
0.742695253464 |
Real period |
R |
0.33677255470045 |
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 |
101616k1 76212g1 |
Quadratic twists by: -4 -3 |