Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22560a |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-4650207252480 = -1 · 212 · 37 · 5 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 -1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2639,88801] |
[a1,a2,a3,a4,a6] |
Generators |
[48:569:1] |
Generators of the group modulo torsion |
j |
496040751296/1135304505 |
j-invariant |
L |
4.9208715947235 |
L(r)(E,1)/r! |
Ω |
0.53747869109393 |
Real period |
R |
4.5777364538006 |
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 |
22560f1 45120cx1 67680bd1 112800ce1 |
Quadratic twists by: -4 8 -3 5 |