Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
456a |
Isogeny class |
Conductor |
456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
58368 = 210 · 3 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 -4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,28] |
[a1,a2,a3,a4,a6] |
j |
470596/57 |
j-invariant |
L |
1.6992247757207 |
L(r)(E,1)/r! |
Ω |
3.3984495514414 |
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 |
912d1 3648n1 1368j1 11400bl1 |
Quadratic twists by: -4 8 -3 5 |