Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848p |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2536670560256 = -1 · 216 · 77 · 47 |
Discriminant |
Eigenvalues |
2- -3 1 7- -1 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13867,633178] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-98:1] |
Generators of the group modulo torsion |
j |
-611960049/5264 |
j-invariant |
L |
3.9578708525687 |
L(r)(E,1)/r! |
Ω |
0.81671045150689 |
Real period |
R |
1.2115281631533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606m1 5264g1 |
Quadratic twists by: -4 -7 |