Atkin-Lehner |
2- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
114638k |
Isogeny class |
Conductor |
114638 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384384 |
Modular degree for the optimal curve |
Δ |
16852753888634 = 2 · 31 · 437 |
Discriminant |
Eigenvalues |
2- 2 1 0 -5 -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6510,-45871] |
[a1,a2,a3,a4,a6] |
j |
4826809/2666 |
j-invariant |
L |
2.2759770092477 |
L(r)(E,1)/r! |
Ω |
0.56899443138698 |
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 |
2666a1 |
Quadratic twists by: -43 |