Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33984bi |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-704692224 = -1 · 214 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 0 2 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,1136] |
[a1,a2,a3,a4,a6] |
Generators |
[8:52:1] |
Generators of the group modulo torsion |
j |
21296/59 |
j-invariant |
L |
5.2469111703186 |
L(r)(E,1)/r! |
Ω |
1.1288942435904 |
Real period |
R |
2.3239161684582 |
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 |
33984t1 8496g1 3776u1 |
Quadratic twists by: -4 8 -3 |