Atkin-Lehner |
2+ 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984i |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-15667386384384 = -1 · 224 · 37 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -2 4 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15489,771201] |
[a1,a2,a3,a4,a6] |
j |
-1567768622113/59766336 |
j-invariant |
L |
2.7733485531802 |
L(r)(E,1)/r! |
Ω |
0.69333713121016 |
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 |
81984cu1 2562n1 |
Quadratic twists by: -4 8 |