Atkin-Lehner |
2+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42944g |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-10059889664 = -1 · 210 · 115 · 61 |
Discriminant |
Eigenvalues |
2+ -1 2 3 11+ -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3057,66265] |
[a1,a2,a3,a4,a6] |
j |
-3086399425792/9824111 |
j-invariant |
L |
1.2934101713603 |
L(r)(E,1)/r! |
Ω |
1.2934101713612 |
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 |
42944z1 5368d1 |
Quadratic twists by: -4 8 |