Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870bj |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
-5.8438374578012E+19 |
Discriminant |
Eigenvalues |
2- 2 5- -3 -1 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2768815,-1812221195] |
[a1,a2,a3,a4,a6] |
Generators |
[1933:6968:1] |
Generators of the group modulo torsion |
j |
-2877787492361041/71639296000 |
j-invariant |
L |
12.084213915744 |
L(r)(E,1)/r! |
Ω |
0.058432892258192 |
Real period |
R |
3.1334089955618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870c1 |
Quadratic twists by: 13 |