Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810cu |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
11491200 |
Modular degree for the optimal curve |
Δ |
8.4969168829156E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54353431,-153602586655] |
[a1,a2,a3,a4,a6] |
Generators |
[-35138:177853:8] |
Generators of the group modulo torsion |
j |
1045624609074291409/5003023725000 |
j-invariant |
L |
10.926854769037 |
L(r)(E,1)/r! |
Ω |
0.055618320679839 |
Real period |
R |
4.365809536786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810g1 |
Quadratic twists by: -19 |