Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9648k |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-200060928 = -1 · 212 · 36 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -4 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1776,-28816] |
[a1,a2,a3,a4,a6] |
Generators |
[1010:10611:8] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
3.8992930351177 |
L(r)(E,1)/r! |
Ω |
0.36770573674248 |
Real period |
R |
5.3021922769844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
603f1 38592cg1 1072a1 |
Quadratic twists by: -4 8 -3 |