Atkin-Lehner |
2- 7+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116144m |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4892160 |
Modular degree for the optimal curve |
Δ |
8.4434223302594E+19 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -2 -6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4173552,3253237376] |
[a1,a2,a3,a4,a6] |
Generators |
[1082:1734:1] |
Generators of the group modulo torsion |
j |
1962823979251420033393/20613824048484779 |
j-invariant |
L |
5.2532041373999 |
L(r)(E,1)/r! |
Ω |
0.19270999757871 |
Real period |
R |
1.9471167466115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7259d1 |
Quadratic twists by: -4 |