Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16698be |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
72609199146 = 2 · 34 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3451,-78385] |
[a1,a2,a3,a4,a6] |
j |
2565726409/40986 |
j-invariant |
L |
2.4939812336234 |
L(r)(E,1)/r! |
Ω |
0.62349530840584 |
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 |
50094r1 1518e1 |
Quadratic twists by: -3 -11 |