Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600bx |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1454080000000000 = 221 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -2 -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44033,3032063] |
[a1,a2,a3,a4,a6] |
j |
2305199161/355000 |
j-invariant |
L |
1.8338398389382 |
L(r)(E,1)/r! |
Ω |
0.45846009327628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600z1 28400h1 22720ba1 |
Quadratic twists by: -4 8 5 |