Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848ce |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-95610810544128 = -1 · 212 · 313 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11- -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2904,466576] |
[a1,a2,a3,a4,a6] |
j |
61952/2187 |
j-invariant |
L |
1.8141844921714 |
L(r)(E,1)/r! |
Ω |
0.45354612304394 |
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 |
34848z1 69696ce1 11616l1 34848y1 |
Quadratic twists by: -4 8 -3 -11 |