Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998z |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
7836864 = 26 · 3 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 4 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
5764801/3264 |
j-invariant |
L |
5.1375084705688 |
L(r)(E,1)/r! |
Ω |
2.0134320699762 |
Real period |
R |
0.14175652683291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984cv1 14994m1 124950cj1 4998bj1 |
Quadratic twists by: -4 -3 5 -7 |