Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170bl |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
3950732394000 = 24 · 314 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10652,-409521] |
[a1,a2,a3,a4,a6] |
j |
183337554283129/5419386000 |
j-invariant |
L |
5.6495165190781 |
L(r)(E,1)/r! |
Ω |
0.47079304325795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390c1 |
Quadratic twists by: -3 |