Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
714g |
Isogeny class |
Conductor |
714 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2928751705237796928 = -1 · 26 · 34 · 716 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,349916,20936165] |
[a1,a2,a3,a4,a6] |
j |
4738217997934888496063/2928751705237796928 |
j-invariant |
L |
1.8827095166557 |
L(r)(E,1)/r! |
Ω |
0.15689245972131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5712t4 22848bn3 2142g4 17850o4 |
Quadratic twists by: -4 8 -3 5 |