Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23826v |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
34864945158599424 = 28 · 36 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 11+ -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19447980,-33019191987] |
[a1,a2,a3,a4,a6] |
j |
47898112923787681/2052864 |
j-invariant |
L |
3.4508189021025 |
L(r)(E,1)/r! |
Ω |
0.071892060460468 |
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 |
71478u1 23826p1 |
Quadratic twists by: -3 -19 |