Atkin-Lehner |
2+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
57434b |
Isogeny class |
Conductor |
57434 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
70380 |
Modular degree for the optimal curve |
Δ |
-280259598554 = -1 · 2 · 13 · 476 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 -6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1058,-21662] |
[a1,a2,a3,a4,a6] |
j |
12167/26 |
j-invariant |
L |
0.5075144055995 |
L(r)(E,1)/r! |
Ω |
0.50751440762899 |
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 |
26a3 |
Quadratic twists by: -47 |