Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998l |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
315685304977588224 = 230 · 3 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-671130,-209942708] |
[a1,a2,a3,a4,a6] |
Generators |
[-13137:39323:27] |
Generators of the group modulo torsion |
j |
5799070911693913/54760833024 |
j-invariant |
L |
2.7594261488263 |
L(r)(E,1)/r! |
Ω |
0.16689584193639 |
Real period |
R |
2.7556370057021 |
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 |
39984bj2 14994by2 124950ek2 4998f2 |
Quadratic twists by: -4 -3 5 -7 |