Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690bm |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9020160 |
Modular degree for the optimal curve |
Δ |
9.8142583384271E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86067257,-306938724519] |
[a1,a2,a3,a4,a6] |
j |
229895296609/320000 |
j-invariant |
L |
3.5691012301298 |
L(r)(E,1)/r! |
Ω |
0.049570850151929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410b1 75690u1 |
Quadratic twists by: -3 29 |