Atkin-Lehner |
2+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30926d |
Isogeny class |
Conductor |
30926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
226967157967424 = 26 · 7 · 477 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21031,-932235] |
[a1,a2,a3,a4,a6] |
j |
95443993/21056 |
j-invariant |
L |
0.80535998572624 |
L(r)(E,1)/r! |
Ω |
0.40267999286691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
658b1 |
Quadratic twists by: -47 |