Atkin-Lehner |
2- 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
19776bf |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-5062656 = -1 · 214 · 3 · 103 |
Discriminant |
Eigenvalues |
2- 3- 1 4 0 -3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,111] |
[a1,a2,a3,a4,a6] |
j |
21296/309 |
j-invariant |
L |
3.5989388776887 |
L(r)(E,1)/r! |
Ω |
1.7994694388443 |
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 |
19776b1 4944g1 59328bn1 |
Quadratic twists by: -4 8 -3 |