Atkin-Lehner |
2- 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14326d |
Isogeny class |
Conductor |
14326 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1472025152 = 26 · 133 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 2 0 2 4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1378,-20177] |
[a1,a2,a3,a4,a6] |
j |
289395025998625/1472025152 |
j-invariant |
L |
7.0544163979797 |
L(r)(E,1)/r! |
Ω |
0.78382404421996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114608n1 128934n1 |
Quadratic twists by: -4 -3 |