Atkin-Lehner |
2+ 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
1422a |
Isogeny class |
Conductor |
1422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-398068992 = -1 · 28 · 39 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 4 1 3 5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-555,-4987] |
[a1,a2,a3,a4,a6] |
j |
-961504803/20224 |
j-invariant |
L |
1.9646206118882 |
L(r)(E,1)/r! |
Ω |
0.49115515297204 |
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 |
11376f1 45504i1 1422e1 35550be1 |
Quadratic twists by: -4 8 -3 5 |