Atkin-Lehner |
2+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870l |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
1010620 = 22 · 5 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 -2 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25,1] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:7:1] [-3:8:1] |
Generators of the group modulo torsion |
j |
804357/460 |
j-invariant |
L |
4.2981572117123 |
L(r)(E,1)/r! |
Ω |
2.3091311473058 |
Real period |
R |
0.46534355754605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870bq1 |
Quadratic twists by: 13 |