Atkin-Lehner |
2- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
21488j |
Isogeny class |
Conductor |
21488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
5985009664 = 218 · 172 · 79 |
Discriminant |
Eigenvalues |
2- -1 1 5 0 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1360,-18496] |
[a1,a2,a3,a4,a6] |
j |
67967263441/1461184 |
j-invariant |
L |
3.1485905751793 |
L(r)(E,1)/r! |
Ω |
0.78714764379483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2686e1 85952v1 |
Quadratic twists by: -4 8 |