Atkin-Lehner |
2+ 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
78166c |
Isogeny class |
Conductor |
78166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
44531998134272 = 212 · 116 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 11- 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49088,-4161536] |
[a1,a2,a3,a4,a6] |
Generators |
[-269685:258686:2197] |
Generators of the group modulo torsion |
j |
7384117376817/25137152 |
j-invariant |
L |
4.4364718304064 |
L(r)(E,1)/r! |
Ω |
0.32080727128365 |
Real period |
R |
6.9145437563029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646d1 |
Quadratic twists by: -11 |