Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
345b |
Isogeny class |
Conductor |
345 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
-1035 = -1 · 32 · 5 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 -4 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1,1] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
-262144/1035 |
j-invariant |
L |
1.5964898077227 |
L(r)(E,1)/r! |
Ω |
4.2977618836891 |
Real period |
R |
0.18573502335968 |
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 |
5520n1 22080v1 1035d1 1725a1 |
Quadratic twists by: -4 8 -3 5 |