Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23826i |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
176503784865409584 = 24 · 310 · 11 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-143324,5193696] |
[a1,a2,a3,a4,a6] |
j |
19171513513/10392624 |
j-invariant |
L |
1.1195910648034 |
L(r)(E,1)/r! |
Ω |
0.27989776620089 |
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 |
71478bs1 23826bm1 |
Quadratic twists by: -3 -19 |