Atkin-Lehner |
2+ 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558g |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-3803371140022272 = -1 · 222 · 32 · 72 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 0 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14204,-3039046] |
[a1,a2,a3,a4,a6] |
j |
-316892346232279609/3803371140022272 |
j-invariant |
L |
3.0128587138541 |
L(r)(E,1)/r! |
Ω |
0.18830366961588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464bh1 37674r1 87906h1 |
Quadratic twists by: -4 -3 -7 |