Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690br |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5196800 |
Modular degree for the optimal curve |
Δ |
1.189767309346E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14729432,21698709239] |
[a1,a2,a3,a4,a6] |
Generators |
[-30274:1234583:8] |
Generators of the group modulo torsion |
j |
33417362861/112500 |
j-invariant |
L |
9.6952080608582 |
L(r)(E,1)/r! |
Ω |
0.15456153108991 |
Real period |
R |
3.1363587022697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230h1 75690w1 |
Quadratic twists by: -3 29 |