Atkin-Lehner |
2+ 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
108936f |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-68613993216 = -1 · 28 · 311 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 -3 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-11500] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-162:1] |
Generators of the group modulo torsion |
j |
106314752/367659 |
j-invariant |
L |
5.9879028673591 |
L(r)(E,1)/r! |
Ω |
0.5593905972938 |
Real period |
R |
0.66902077566584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999441078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36312g1 |
Quadratic twists by: -3 |