Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848z |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
24 |
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] |
Generators |
[484:10692:1] |
Generators of the group modulo torsion |
j |
61952/2187 |
j-invariant |
L |
4.2943439725517 |
L(r)(E,1)/r! |
Ω |
0.28901743863941 |
Real period |
R |
0.61910104697717 |
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 |
34848ce1 69696cg1 11616s1 34848cd1 |
Quadratic twists by: -4 8 -3 -11 |