Atkin-Lehner |
3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46389c |
Isogeny class |
Conductor |
46389 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5360256 |
Modular degree for the optimal curve |
Δ |
-5.5139445710954E+22 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ 0 3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,865192,-11293722703] |
[a1,a2,a3,a4,a6] |
j |
3008000000/2315685267 |
j-invariant |
L |
5.113050041998 |
L(r)(E,1)/r! |
Ω |
0.052173980025749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46389d1 |
Quadratic twists by: -47 |