Atkin-Lehner |
2- 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15470j |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
721644560 = 24 · 5 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 2 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-326,-1997] |
[a1,a2,a3,a4,a6] |
j |
3832302404449/721644560 |
j-invariant |
L |
4.552751233745 |
L(r)(E,1)/r! |
Ω |
1.1381878084362 |
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 |
123760z1 77350q1 108290bp1 |
Quadratic twists by: -4 5 -7 |