Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478cs |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
34836480 |
Modular degree for the optimal curve |
Δ |
5.2088891015916E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-143680839,661975462665] |
[a1,a2,a3,a4,a6] |
Generators |
[6486:50853:1] |
Generators of the group modulo torsion |
j |
2788252101438710888776033/4427482682888552448 |
j-invariant |
L |
11.713657039388 |
L(r)(E,1)/r! |
Ω |
0.092673345776657 |
Real period |
R |
0.58517250249761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18354s1 |
Quadratic twists by: -7 |