Atkin-Lehner |
2- 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dg |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
15518574086400 = 28 · 37 · 52 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11048,407531] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:355:1] [15:487:1] |
Generators of the group modulo torsion |
j |
204555107163961/21287481600 |
j-invariant |
L |
16.115343780719 |
L(r)(E,1)/r! |
Ω |
0.67803025732679 |
Real period |
R |
0.24758211395313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bk1 |
Quadratic twists by: -3 |