Atkin-Lehner |
5- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14105b |
Isogeny class |
Conductor |
14105 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
600405771875 = 55 · 7 · 134 · 312 |
Discriminant |
Eigenvalues |
1 2 5- 7+ -6 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116557,-15364986] |
[a1,a2,a3,a4,a6] |
j |
175123575847837333081/600405771875 |
j-invariant |
L |
2.5838337617062 |
L(r)(E,1)/r! |
Ω |
0.25838337617062 |
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 |
126945g2 70525k2 98735f2 |
Quadratic twists by: -3 5 -7 |