Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240cc |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
46782008524800 = 224 · 38 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14547,589714] |
[a1,a2,a3,a4,a6] |
j |
114013572049/15667200 |
j-invariant |
L |
2.4519857040814 |
L(r)(E,1)/r! |
Ω |
0.61299642602035 |
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 |
1530f1 48960el1 4080bb1 61200gd1 |
Quadratic twists by: -4 8 -3 5 |