Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736n |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-307087872 = -1 · 29 · 3 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,168,-168] |
[a1,a2,a3,a4,a6] |
j |
1018108216/599781 |
j-invariant |
L |
2.0222068163821 |
L(r)(E,1)/r! |
Ω |
1.0111034081911 |
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 |
8736j4 17472bb4 26208k2 61152ce2 |
Quadratic twists by: -4 8 -3 -7 |