Atkin-Lehner |
3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11781a |
Isogeny class |
Conductor |
11781 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
52397010536409 = 39 · 76 · 113 · 17 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11+ 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9641,-104624] |
[a1,a2,a3,a4,a6] |
j |
5034501056619/2662043923 |
j-invariant |
L |
0.51137687119322 |
L(r)(E,1)/r! |
Ω |
0.51137687119322 |
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 |
11781b1 82467a1 129591e1 |
Quadratic twists by: -3 -7 -11 |