Atkin-Lehner |
2+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38870s |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-1000722609640 = -1 · 23 · 5 · 132 · 236 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 -3 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11158,-457104] |
[a1,a2,a3,a4,a6] |
Generators |
[712:18423:1] |
Generators of the group modulo torsion |
j |
-908950277980849/5921435560 |
j-invariant |
L |
3.4404837537652 |
L(r)(E,1)/r! |
Ω |
0.23217132140415 |
Real period |
R |
2.4697880663844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870bc1 |
Quadratic twists by: 13 |