Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690bh |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
7526400 |
Modular degree for the optimal curve |
Δ |
5.7946336493235E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13321598,-18349490419] |
[a1,a2,a3,a4,a6] |
Generators |
[-2327:7891:1] |
Generators of the group modulo torsion |
j |
602944222256641/13363200000 |
j-invariant |
L |
5.7098451821653 |
L(r)(E,1)/r! |
Ω |
0.079130931155703 |
Real period |
R |
1.2885166344267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230l1 2610f1 |
Quadratic twists by: -3 29 |