Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46930h |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-1968386867200 = -1 · 224 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 1 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8570,-310604] |
[a1,a2,a3,a4,a6] |
j |
-192835718791569/5452595200 |
j-invariant |
L |
0.99073615124524 |
L(r)(E,1)/r! |
Ω |
0.24768403782574 |
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 |
46930z1 |
Quadratic twists by: -19 |