Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
118944n |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
244786752 = 26 · 33 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-285,-1692] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] [63:480:1] |
Generators of the group modulo torsion |
j |
1481544000/141659 |
j-invariant |
L |
11.613753066328 |
L(r)(E,1)/r! |
Ω |
1.1690849375517 |
Real period |
R |
4.9670270702419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944f1 118944b1 |
Quadratic twists by: -4 -3 |