Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350j |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
6632550 = 2 · 33 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65,135] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
253265/54 |
j-invariant |
L |
2.6614576985024 |
L(r)(E,1)/r! |
Ω |
2.2412601757121 |
Real period |
R |
0.59374135304288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350dn1 43350bf1 |
Quadratic twists by: 5 17 |