Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854d |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
4.9503687959301E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-964655,135230997] |
[a1,a2,a3,a4,a6] |
j |
20567445764946625/10255986503568 |
j-invariant |
L |
1.4217365533203 |
L(r)(E,1)/r! |
Ω |
0.1777170685688 |
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 |
4758f1 |
Quadratic twists by: 13 |