Atkin-Lehner |
2+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870o |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
419331067581695750 = 2 · 53 · 1310 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-357608,-76216632] |
[a1,a2,a3,a4,a6] |
j |
36686824369/3041750 |
j-invariant |
L |
0.58877978293434 |
L(r)(E,1)/r! |
Ω |
0.19625992764483 |
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 |
38870z2 |
Quadratic twists by: 13 |