Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350ba |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
5000507156250000 = 24 · 38 · 59 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-77013,-7495983] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:855:1] |
Generators of the group modulo torsion |
j |
25863431755517/2560259664 |
j-invariant |
L |
5.8719797812435 |
L(r)(E,1)/r! |
Ω |
0.2884143095746 |
Real period |
R |
0.42415687449654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800cp1 13050q1 4350g1 126150o1 |
Quadratic twists by: -4 -3 5 29 |