Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bt |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
4663296 |
Modular degree for the optimal curve |
Δ |
-4.932464394515E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4158833,-11171865823] |
[a1,a2,a3,a4,a6] |
j |
-139343861641/864000000 |
j-invariant |
L |
4.1541223014676 |
L(r)(E,1)/r! |
Ω |
0.047205935249567 |
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 |
15870r1 47610cf1 |
Quadratic twists by: -3 -23 |