Atkin-Lehner |
2- 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17028d |
Isogeny class |
Conductor |
17028 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-24724656 = -1 · 24 · 33 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-564,5161] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:88:1] [-10:99:1] |
Generators of the group modulo torsion |
j |
-45927972864/57233 |
j-invariant |
L |
6.0342178930286 |
L(r)(E,1)/r! |
Ω |
2.1197799469649 |
Real period |
R |
1.4233123352421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68112bb1 17028b2 |
Quadratic twists by: -4 -3 |