Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558l |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
173267472924 = 22 · 35 · 72 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3302219,2308331261] |
[a1,a2,a3,a4,a6] |
j |
3982367508813341135547697/173267472924 |
j-invariant |
L |
2.1935455290475 |
L(r)(E,1)/r! |
Ω |
0.54838638226188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100464cc4 37674d4 87906bq4 |
Quadratic twists by: -4 -3 -7 |