Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2320c |
Isogeny class |
Conductor |
2320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
67280 = 24 · 5 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
10061824/4205 |
j-invariant |
L |
1.9045430168126 |
L(r)(E,1)/r! |
Ω |
3.1455527247181 |
Real period |
R |
1.2109433117089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1160d1 9280u1 20880bd1 11600d1 |
Quadratic twists by: -4 8 -3 5 |