Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690p |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
3.9473623882556E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21409074,-36905031212] |
[a1,a2,a3,a4,a6] |
Generators |
[-1122361264297:14979174106667:444194947] |
Generators of the group modulo torsion |
j |
2502660030961609/91031454720 |
j-invariant |
L |
4.2135049856072 |
L(r)(E,1)/r! |
Ω |
0.070342939452699 |
Real period |
R |
14.974868186311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230o1 2610m1 |
Quadratic twists by: -3 29 |