Atkin-Lehner |
2- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
39712b |
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 |
[132:584:1] |
Generators of the group modulo torsion |
j |
47587475033272000/90593 |
j-invariant |
L |
2.2951847369443 |
L(r)(E,1)/r! |
Ω |
1.5555428959766 |
Real period |
R |
1.4754879102851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39712a1 79424l1 |
Quadratic twists by: -4 8 |