Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690be |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
10752000 |
Modular degree for the optimal curve |
Δ |
2.3761619608257E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33909278,16620312237] |
[a1,a2,a3,a4,a6] |
Generators |
[-6039:36659:1] |
Generators of the group modulo torsion |
j |
9944061759313921/5479747200000 |
j-invariant |
L |
9.0845277994235 |
L(r)(E,1)/r! |
Ω |
0.070971334495974 |
Real period |
R |
3.200069387551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230e1 2610e1 |
Quadratic twists by: -3 29 |