Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338o |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-4558590358272 = -1 · 28 · 315 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -2 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3496,64091] |
[a1,a2,a3,a4,a6] |
Generators |
[63:697:1] |
Generators of the group modulo torsion |
j |
6483759726023/6253210368 |
j-invariant |
L |
8.375106206717 |
L(r)(E,1)/r! |
Ω |
0.50823801454052 |
Real period |
R |
0.5149596477873 |
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 |
7446g1 |
Quadratic twists by: -3 |