Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9633k |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1255409579619 = -1 · 34 · 138 · 19 |
Discriminant |
Eigenvalues |
0 3- -1 3 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-901,54604] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:253:1] |
Generators of the group modulo torsion |
j |
-16777216/260091 |
j-invariant |
L |
4.6381377036501 |
L(r)(E,1)/r! |
Ω |
0.72824714976658 |
Real period |
R |
0.79611326064522 |
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 |
28899i1 741e1 |
Quadratic twists by: -3 13 |