Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38870ba |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-22350250 = -1 · 2 · 53 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -1 13+ -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58,-269] |
[a1,a2,a3,a4,a6] |
Generators |
[254:1235:8] |
Generators of the group modulo torsion |
j |
-125626761/132250 |
j-invariant |
L |
8.2813237011604 |
L(r)(E,1)/r! |
Ω |
0.83136459059779 |
Real period |
R |
4.9805607520551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870p1 |
Quadratic twists by: 13 |