Atkin-Lehner |
2- 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558o |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2523253824 = 26 · 32 · 72 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16744,-840919] |
[a1,a2,a3,a4,a6] |
j |
519162098474388097/2523253824 |
j-invariant |
L |
2.5181754915172 |
L(r)(E,1)/r! |
Ω |
0.41969591525287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100464bv2 37674j2 87906bm2 |
Quadratic twists by: -4 -3 -7 |