Atkin-Lehner |
2- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7072g |
Isogeny class |
Conductor |
7072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15388672 = -1 · 212 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 2 0 -4 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,-159] |
[a1,a2,a3,a4,a6] |
j |
2744000/3757 |
j-invariant |
L |
2.3538150092329 |
L(r)(E,1)/r! |
Ω |
1.1769075046165 |
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 |
7072a2 14144d1 63648j2 91936j2 |
Quadratic twists by: -4 8 -3 13 |