Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23826bj |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
377568 |
Modular degree for the optimal curve |
Δ |
-394562136568512 = -1 · 26 · 3 · 112 · 198 |
Discriminant |
Eigenvalues |
2- 3- 4 -5 11- 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-133036,18690128] |
[a1,a2,a3,a4,a6] |
j |
-15332135329/23232 |
j-invariant |
L |
6.3974696476223 |
L(r)(E,1)/r! |
Ω |
0.53312247063518 |
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 |
71478m1 23826k1 |
Quadratic twists by: -3 -19 |