Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440di |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2275409920 = 221 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -5 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,1663] |
[a1,a2,a3,a4,a6] |
j |
24137569/8680 |
j-invariant |
L |
2.6722066809976 |
L(r)(E,1)/r! |
Ω |
1.3361033408088 |
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 |
69440bt1 17360u1 |
Quadratic twists by: -4 8 |