Atkin-Lehner |
5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39715l |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-4792417985875 = -1 · 53 · 138 · 47 |
Discriminant |
Eigenvalues |
2 2 5- 2 -4 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-31490,2163943] |
[a1,a2,a3,a4,a6] |
Generators |
[72008:360779:512] |
Generators of the group modulo torsion |
j |
-4233588736/5875 |
j-invariant |
L |
17.653749574538 |
L(r)(E,1)/r! |
Ω |
0.76933471529551 |
Real period |
R |
7.6489245506761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39715b1 |
Quadratic twists by: 13 |