Atkin-Lehner |
2- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bu |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
2.4578833933281E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1078763,-359737719] |
[a1,a2,a3,a4,a6] |
Generators |
[-771:4182:1] |
Generators of the group modulo torsion |
j |
14216798925151225/2516872594768 |
j-invariant |
L |
7.5169936992193 |
L(r)(E,1)/r! |
Ω |
0.1499365853398 |
Real period |
R |
6.2668108172523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999733203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bn1 |
Quadratic twists by: 5 |