Atkin-Lehner |
3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11781b |
Isogeny class |
Conductor |
11781 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
71875185921 = 33 · 76 · 113 · 17 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11- 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1071,4232] |
[a1,a2,a3,a4,a6] |
j |
5034501056619/2662043923 |
j-invariant |
L |
2.8772446971711 |
L(r)(E,1)/r! |
Ω |
0.9590815657237 |
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 |
11781a1 82467e1 129591f1 |
Quadratic twists by: -3 -7 -11 |