Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998be |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
89964 = 22 · 33 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85,-337] |
[a1,a2,a3,a4,a6] |
j |
1387087009/1836 |
j-invariant |
L |
3.1447254169562 |
L(r)(E,1)/r! |
Ω |
1.5723627084781 |
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 |
39984dm1 14994u1 124950cr1 4998bh1 |
Quadratic twists by: -4 -3 5 -7 |