Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826s |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1291294265133312 = 28 · 33 · 11 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-808287,-279764366] |
[a1,a2,a3,a4,a6] |
Generators |
[-1746615:988268:3375] |
Generators of the group modulo torsion |
j |
1241361053832817/27447552 |
j-invariant |
L |
3.9930636177564 |
L(r)(E,1)/r! |
Ω |
0.1592240977903 |
Real period |
R |
8.3594206177996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71478cq1 1254g1 |
Quadratic twists by: -3 -19 |