Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558m |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-24126857746248348 = -1 · 22 · 38 · 72 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24154,-7621693] |
[a1,a2,a3,a4,a6] |
j |
-1558446944378871457/24126857746248348 |
j-invariant |
L |
2.5988625958832 |
L(r)(E,1)/r! |
Ω |
0.1624289122427 |
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 |
100464cf5 37674e5 87906bs5 |
Quadratic twists by: -4 -3 -7 |