Atkin-Lehner |
3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11271c |
Isogeny class |
Conductor |
11271 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
272054540199 = 3 · 13 · 178 |
Discriminant |
Eigenvalues |
-1 3+ 1 3 -2 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1740,-13002] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:122:1] |
Generators of the group modulo torsion |
j |
83521/39 |
j-invariant |
L |
2.9154826234129 |
L(r)(E,1)/r! |
Ω |
0.77333741625716 |
Real period |
R |
3.7700007294661 |
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 |
33813p1 11271g1 |
Quadratic twists by: -3 17 |