Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944cj |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
3529289760768 = 220 · 311 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55020,-4966576] |
[a1,a2,a3,a4,a6] |
j |
96386901625/18468 |
j-invariant |
L |
0.62345397343693 |
L(r)(E,1)/r! |
Ω |
0.31172698671847 |
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 |
10944n1 2736o1 3648y1 |
Quadratic twists by: -4 8 -3 |