Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616z |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-232346204579377152 = -1 · 212 · 37 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11- 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39043,23013483] |
[a1,a2,a3,a4,a6] |
j |
61952/2187 |
j-invariant |
L |
3.3159943306259 |
L(r)(E,1)/r! |
Ω |
0.23685673790185 |
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 |
11616c1 23232s1 34848y1 11616l1 |
Quadratic twists by: -4 8 -3 -11 |