Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20216c |
Isogeny class |
Conductor |
20216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
372096 |
Modular degree for the optimal curve |
Δ |
235531041359683216 = 24 · 74 · 1910 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 4 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4734996,3967280149] |
[a1,a2,a3,a4,a6] |
j |
119681400064/2401 |
j-invariant |
L |
1.1548428709339 |
L(r)(E,1)/r! |
Ω |
0.28871071773348 |
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 |
40432k1 20216g1 |
Quadratic twists by: -4 -19 |