Atkin-Lehner |
2- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14042d |
Isogeny class |
Conductor |
14042 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-786364974808 = -1 · 23 · 78 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1667,-32981] |
[a1,a2,a3,a4,a6] |
j |
512288054003375/786364974808 |
j-invariant |
L |
5.6838279684102 |
L(r)(E,1)/r! |
Ω |
0.47365233070085 |
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 |
112336k2 126378e2 98294n2 |
Quadratic twists by: -4 -3 -7 |