Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542o |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
646272 |
Modular degree for the optimal curve |
Δ |
-2093279042616612864 = -1 · 211 · 3 · 132 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 -5 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-544627,169596302] |
[a1,a2,a3,a4,a6] |
Generators |
[13110:89039632:6859] |
Generators of the group modulo torsion |
j |
-8861981833/1038336 |
j-invariant |
L |
5.7133884216761 |
L(r)(E,1)/r! |
Ω |
0.25378728692979 |
Real period |
R |
11.256254185925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67626bg1 22542h1 |
Quadratic twists by: -3 17 |