Atkin-Lehner |
2- 7- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
118286m |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
8601600 |
Modular degree for the optimal curve |
Δ |
-2.75235678483E+21 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 1 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3499005,-155895839] |
[a1,a2,a3,a4,a6] |
Generators |
[3779:257054:1] |
Generators of the group modulo torsion |
j |
13812213207522054636233/8024363804169076736 |
j-invariant |
L |
6.8835562825495 |
L(r)(E,1)/r! |
Ω |
0.085008937031359 |
Real period |
R |
0.72298662272767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999455523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118286v1 |
Quadratic twists by: -7 |