Atkin-Lehner |
11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5687c |
Isogeny class |
Conductor |
5687 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-11506032546766571 = -1 · 119 · 474 |
Discriminant |
Eigenvalues |
-2 -1 -3 2 11- 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6332,5166600] |
[a1,a2,a3,a4,a6] |
Generators |
[158:2843:1] |
Generators of the group modulo torsion |
j |
-15851081728/6494855411 |
j-invariant |
L |
1.2269539567408 |
L(r)(E,1)/r! |
Ω |
0.32694075736139 |
Real period |
R |
0.46910408427013 |
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 |
90992l1 51183d1 517c1 |
Quadratic twists by: -4 -3 -11 |