Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870bh |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
87798038728985000 = 23 · 54 · 137 · 234 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140302,-14314699] |
[a1,a2,a3,a4,a6] |
Generators |
[491:5669:1] |
Generators of the group modulo torsion |
j |
63277932677049/18189665000 |
j-invariant |
L |
10.074069221131 |
L(r)(E,1)/r! |
Ω |
0.25208759766707 |
Real period |
R |
1.6651072408895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2990a3 |
Quadratic twists by: 13 |