Atkin-Lehner |
2+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32536b |
Isogeny class |
Conductor |
32536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49056 |
Modular degree for the optimal curve |
Δ |
-6002034090752 = -1 · 28 · 710 · 83 |
Discriminant |
Eigenvalues |
2+ 1 4 7- 0 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,-138013] |
[a1,a2,a3,a4,a6] |
j |
-50176/83 |
j-invariant |
L |
4.8040160559427 |
L(r)(E,1)/r! |
Ω |
0.30025100349659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65072g1 32536a1 |
Quadratic twists by: -4 -7 |