Atkin-Lehner |
2- 3+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954bn |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-222094792503612 = -1 · 22 · 32 · 79 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13327,409835] |
[a1,a2,a3,a4,a6] |
j |
6486889625/5503716 |
j-invariant |
L |
2.9041071090744 |
L(r)(E,1)/r! |
Ω |
0.36301353279297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114954ct1 |
Quadratic twists by: -7 |