Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558m |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5339205091584 = 28 · 32 · 72 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4374,4371] |
[a1,a2,a3,a4,a6] |
j |
9254783291566177/5339205091584 |
j-invariant |
L |
2.5988625958832 |
L(r)(E,1)/r! |
Ω |
0.64971564897081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
100464cf2 37674e2 87906bs2 |
Quadratic twists by: -4 -3 -7 |