Atkin-Lehner |
2+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16600g |
Isogeny class |
Conductor |
16600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4512 |
Modular degree for the optimal curve |
Δ |
-2124800 = -1 · 210 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 4 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,70] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
540/83 |
j-invariant |
L |
3.3582152874444 |
L(r)(E,1)/r! |
Ω |
2.0090663349372 |
Real period |
R |
0.8357651584335 |
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 |
33200i1 16600o1 |
Quadratic twists by: -4 5 |