Atkin-Lehner |
2- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
39712a |
Isogeny class |
Conductor |
39712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
5797952 = 26 · 17 · 732 |
Discriminant |
Eigenvalues |
2- 2 0 0 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30198,-2009800] |
[a1,a2,a3,a4,a6] |
Generators |
[22879526578433940:-158953932658036729:102109494024000] |
Generators of the group modulo torsion |
j |
47587475033272000/90593 |
j-invariant |
L |
9.1049266003304 |
L(r)(E,1)/r! |
Ω |
0.36216277656839 |
Real period |
R |
25.140426320455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39712b1 79424m1 |
Quadratic twists by: -4 8 |