Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826q |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-993650937020083584 = -1 · 27 · 37 · 11 · 199 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11+ 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1182644,497246258] |
[a1,a2,a3,a4,a6] |
Generators |
[-768:31249:1] |
Generators of the group modulo torsion |
j |
-3888335020909249/21120891264 |
j-invariant |
L |
4.8764497729262 |
L(r)(E,1)/r! |
Ω |
0.2793365227616 |
Real period |
R |
0.62347350335668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71478cn1 1254f1 |
Quadratic twists by: -3 -19 |