Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998bj |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
921999212736 = 26 · 3 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 4 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2451,-7071] |
[a1,a2,a3,a4,a6] |
j |
5764801/3264 |
j-invariant |
L |
4.3912305097471 |
L(r)(E,1)/r! |
Ω |
0.73187175162452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984bo1 14994bb1 124950bb1 4998z1 |
Quadratic twists by: -4 -3 5 -7 |