Atkin-Lehner |
2+ 7+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568d |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-547011584 = -1 · 210 · 7 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139,1290] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:30:1] [3:30:1] |
Generators of the group modulo torsion |
j |
-290046852/534191 |
j-invariant |
L |
12.641629672559 |
L(r)(E,1)/r! |
Ω |
1.4660067951322 |
Real period |
R |
4.3115863175704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63784c1 |
Quadratic twists by: -4 |