Atkin-Lehner |
7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5929h |
Isogeny class |
Conductor |
5929 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2292646180979 = -1 · 76 · 117 |
Discriminant |
Eigenvalues |
2 1 -1 7- 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1976,79657] |
[a1,a2,a3,a4,a6] |
Generators |
[2410:41499:8] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
8.1595240329545 |
L(r)(E,1)/r! |
Ω |
0.72319911981817 |
Real period |
R |
2.8206353580069 |
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 |
94864cl1 53361ca1 121d1 539d1 |
Quadratic twists by: -4 -3 -7 -11 |