Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450d |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-3861447200 = -1 · 25 · 52 · 136 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-510,5140] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:95:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
2.7807808784489 |
L(r)(E,1)/r! |
Ω |
1.3268584378466 |
Real period |
R |
1.047881521921 |
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 |
67600br1 76050ek1 8450x3 50b1 |
Quadratic twists by: -4 -3 5 13 |