Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6630r |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
10400566692750 = 2 · 3 · 53 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68595,6884595] |
[a1,a2,a3,a4,a6] |
j |
35694515311673154481/10400566692750 |
j-invariant |
L |
4.2393237971145 |
L(r)(E,1)/r! |
Ω |
0.70655396618574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53040cu4 19890b3 33150u4 86190i4 |
Quadratic twists by: -4 -3 5 13 |