Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680y |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-7981945241600000 = -1 · 217 · 55 · 117 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11- 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19320,-4165900] |
[a1,a2,a3,a4,a6] |
j |
109902239/1100000 |
j-invariant |
L |
4.0991728056312 |
L(r)(E,1)/r! |
Ω |
0.20495864028156 |
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 |
1210g1 38720cc1 87120eo1 48400cd1 |
Quadratic twists by: -4 8 -3 5 |