Atkin-Lehner |
2- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20128h |
Isogeny class |
Conductor |
20128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
82085493035008 = 212 · 172 · 375 |
Discriminant |
Eigenvalues |
2- 1 4 3 -5 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31421,-2109493] |
[a1,a2,a3,a4,a6] |
Generators |
[-2949:4780:27] |
Generators of the group modulo torsion |
j |
837601784671744/20040403573 |
j-invariant |
L |
8.0776928269878 |
L(r)(E,1)/r! |
Ω |
0.35910919008346 |
Real period |
R |
5.6234239125922 |
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 |
20128c1 40256n1 |
Quadratic twists by: -4 8 |