Atkin-Lehner |
2+ 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35496c |
Isogeny class |
Conductor |
35496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-368022528 = -1 · 210 · 36 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 4 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,1150] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:36:1] |
Generators of the group modulo torsion |
j |
-470596/493 |
j-invariant |
L |
4.0981446333239 |
L(r)(E,1)/r! |
Ω |
1.5431930138797 |
Real period |
R |
0.66390668511077 |
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 |
70992f1 3944b1 |
Quadratic twists by: -4 -3 |