Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998bd |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
41472684288 = 28 · 34 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1667,-24991] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:46:1] |
Generators of the group modulo torsion |
j |
4354703137/352512 |
j-invariant |
L |
5.272399926997 |
L(r)(E,1)/r! |
Ω |
0.75100169418891 |
Real period |
R |
0.87756125715058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39984df1 14994bh1 124950de1 102b1 |
Quadratic twists by: -4 -3 5 -7 |