Atkin-Lehner |
2- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
45662r |
Isogeny class |
Conductor |
45662 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7627471804 = -1 · 22 · 176 · 79 |
Discriminant |
Eigenvalues |
2- -2 2 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,283,3805] |
[a1,a2,a3,a4,a6] |
Generators |
[-14314:274357:4913] |
Generators of the group modulo torsion |
j |
103823/316 |
j-invariant |
L |
7.9262638774778 |
L(r)(E,1)/r! |
Ω |
0.92959795232742 |
Real period |
R |
8.526550491674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
158e1 |
Quadratic twists by: 17 |