Atkin-Lehner |
2+ 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10614g |
Isogeny class |
Conductor |
10614 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-321164366708736 = -1 · 217 · 33 · 293 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 0 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66443,6642614] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2656:1] |
Generators of the group modulo torsion |
j |
-32438593532957924521/321164366708736 |
j-invariant |
L |
4.3976256974406 |
L(r)(E,1)/r! |
Ω |
0.54536795132794 |
Real period |
R |
0.44797744009675 |
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 |
84912q1 31842u1 |
Quadratic twists by: -4 -3 |