Atkin-Lehner |
5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96815l |
Isogeny class |
Conductor |
96815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-687317277275 = -1 · 52 · 177 · 67 |
Discriminant |
Eigenvalues |
-2 1 5- 0 1 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1830,49384] |
[a1,a2,a3,a4,a6] |
Generators |
[28:144:1] |
Generators of the group modulo torsion |
j |
-28094464/28475 |
j-invariant |
L |
3.6203489466285 |
L(r)(E,1)/r! |
Ω |
0.8246867737406 |
Real period |
R |
1.0974921192334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5695a1 |
Quadratic twists by: 17 |