Atkin-Lehner |
2+ 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656f |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
13466391823872 = 29 · 316 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8704,-255032] |
[a1,a2,a3,a4,a6] |
j |
142449291399176/26301546531 |
j-invariant |
L |
1.0011401195695 |
L(r)(E,1)/r! |
Ω |
0.50057005917193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58656x3 117312u3 |
Quadratic twists by: -4 8 |