Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350cy |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
299136892617000000 = 26 · 36 · 56 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1846138,964969892] |
[a1,a2,a3,a4,a6] |
Generators |
[-928:43814:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
11.888176882316 |
L(r)(E,1)/r! |
Ω |
0.30219117628716 |
Real period |
R |
0.5463877861638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734b1 2550v1 |
Quadratic twists by: 5 17 |