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 |
Δ |
3183676529796 = 22 · 34 · 76 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84967,9497081] |
[a1,a2,a3,a4,a6] |
Generators |
[175:72:1] |
Generators of the group modulo torsion |
j |
576615941610337/27060804 |
j-invariant |
L |
5.272399926997 |
L(r)(E,1)/r! |
Ω |
0.75100169418891 |
Real period |
R |
3.5102450286023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39984df4 14994bh3 124950de4 102b3 |
Quadratic twists by: -4 -3 5 -7 |