Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7866o |
Isogeny class |
Conductor |
7866 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
11424 |
Modular degree for the optimal curve |
Δ |
-1127412006912 = -1 · 217 · 39 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -2 5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11315,468883] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-478:1] |
Generators of the group modulo torsion |
j |
-8138795020875/57278464 |
j-invariant |
L |
6.0263164598711 |
L(r)(E,1)/r! |
Ω |
0.87409115816167 |
Real period |
R |
0.20277587767125 |
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 |
62928p1 7866a1 |
Quadratic twists by: -4 -3 |