Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450f |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-105625000 = -1 · 23 · 57 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 -3 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-250,1500] |
[a1,a2,a3,a4,a6] |
Generators |
[15:30:1] |
Generators of the group modulo torsion |
j |
-658489/40 |
j-invariant |
L |
4.2131483948634 |
L(r)(E,1)/r! |
Ω |
1.856065796795 |
Real period |
R |
1.1349674139081 |
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 |
67600ca1 76050eg1 1690h1 8450q1 |
Quadratic twists by: -4 -3 5 13 |