Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
14416g |
Isogeny class |
Conductor |
14416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-663462608896 = -1 · 218 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 2 -3 -5 0 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2168,-5904] |
[a1,a2,a3,a4,a6] |
Generators |
[90:954:1] |
Generators of the group modulo torsion |
j |
275005425527/161978176 |
j-invariant |
L |
4.5460105259032 |
L(r)(E,1)/r! |
Ω |
0.53328204345574 |
Real period |
R |
1.4207649222053 |
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 |
1802a1 57664y1 129744bs1 |
Quadratic twists by: -4 8 -3 |