Atkin-Lehner |
2+ 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464m |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
1311780096 = 28 · 38 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -1 5 11- -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-5204] |
[a1,a2,a3,a4,a6] |
j |
120472576/7029 |
j-invariant |
L |
3.8921988623504 |
L(r)(E,1)/r! |
Ω |
0.97304976598923 |
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 |
56232b1 37488i1 |
Quadratic twists by: -4 -3 |