Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568ci |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2394411122428416 = -1 · 29 · 32 · 72 · 139 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8056,-2340456] |
[a1,a2,a3,a4,a6] |
j |
10648/441 |
j-invariant |
L |
0.44087932708659 |
L(r)(E,1)/r! |
Ω |
0.22043983940159 |
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 |
113568bk2 113568l2 |
Quadratic twists by: -4 13 |