Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616bb |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
98021055056924736 = 26 · 310 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2371882,-1406718040] |
[a1,a2,a3,a4,a6] |
j |
13015685560572352/864536409 |
j-invariant |
L |
2.4330890048668 |
L(r)(E,1)/r! |
Ω |
0.12165445024334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11616d1 23232v2 34848bb1 1056d1 |
Quadratic twists by: -4 8 -3 -11 |