Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504bb |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-28172916849664 = -1 · 210 · 317 |
Discriminant |
Eigenvalues |
2+ -2 3 -1 -6 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8969,-417857] |
[a1,a2,a3,a4,a6] |
j |
-87808/31 |
j-invariant |
L |
0.48202307747614 |
L(r)(E,1)/r! |
Ω |
0.24101154098324 |
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 |
61504ca1 3844c1 1984f1 |
Quadratic twists by: -4 8 -31 |