Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14300g |
Isogeny class |
Conductor |
14300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-345588100000000 = -1 · 28 · 58 · 112 · 134 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9092,-826812] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2750:1] |
Generators of the group modulo torsion |
j |
20777545136/86397025 |
j-invariant |
L |
3.3270644252204 |
L(r)(E,1)/r! |
Ω |
0.27312024583588 |
Real period |
R |
1.0151403017372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57200bc2 128700g2 2860b2 |
Quadratic twists by: -4 -3 5 |