Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16698bf |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-88120675467264 = -1 · 216 · 3 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8412,537021] |
[a1,a2,a3,a4,a6] |
j |
-37159393753/49741824 |
j-invariant |
L |
4.3625914496179 |
L(r)(E,1)/r! |
Ω |
0.54532393120223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50094s1 1518f1 |
Quadratic twists by: -3 -11 |