Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944m |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1815478272 = -1 · 217 · 36 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 2 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,2864] |
[a1,a2,a3,a4,a6] |
j |
-31250/19 |
j-invariant |
L |
2.7513863536671 |
L(r)(E,1)/r! |
Ω |
1.3756931768336 |
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 |
10944ch1 1368h1 1216c1 |
Quadratic twists by: -4 8 -3 |