Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998bl |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1698668299564488 = 23 · 32 · 710 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33272,1231992] |
[a1,a2,a3,a4,a6] |
j |
34623662831857/14438442312 |
j-invariant |
L |
5.1299931954767 |
L(r)(E,1)/r! |
Ω |
0.42749943295639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39984bs3 14994bg3 124950t3 714f3 |
Quadratic twists by: -4 -3 5 -7 |