Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800du |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1310852947968000 = 216 · 38 · 53 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49288,3818228] |
[a1,a2,a3,a4,a6] |
Generators |
[254:-2784:1] |
Generators of the group modulo torsion |
j |
25863431755517/2560259664 |
j-invariant |
L |
7.062092804853 |
L(r)(E,1)/r! |
Ω |
0.46915732021364 |
Real period |
R |
0.31359829015872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4350g1 104400fr1 34800cp1 |
Quadratic twists by: -4 -3 5 |