Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114920m |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
191226880 = 210 · 5 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-403,-3042] |
[a1,a2,a3,a4,a6] |
Generators |
[4644:37851:64] |
Generators of the group modulo torsion |
j |
3217428/85 |
j-invariant |
L |
7.6892569859676 |
L(r)(E,1)/r! |
Ω |
1.0672680569025 |
Real period |
R |
7.2046164421417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114920i1 |
Quadratic twists by: 13 |