Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
19776q |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
59328 = 26 · 32 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136,-658] |
[a1,a2,a3,a4,a6] |
j |
4378747456/927 |
j-invariant |
L |
6.2873418255552 |
L(r)(E,1)/r! |
Ω |
1.3971870723456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19776k1 9888h2 59328l1 |
Quadratic twists by: -4 8 -3 |