Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998f |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
6655896576 = 210 · 33 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1201,-16043] |
[a1,a2,a3,a4,a6] |
j |
3914907891433/135834624 |
j-invariant |
L |
1.6252545115117 |
L(r)(E,1)/r! |
Ω |
0.81262725575584 |
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 |
39984di1 14994db1 124950hy1 4998l1 |
Quadratic twists by: -4 -3 5 -7 |