Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5568b |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2128122740736 = -1 · 225 · 37 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,70209] |
[a1,a2,a3,a4,a6] |
Generators |
[81:768:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
3.738788433212 |
L(r)(E,1)/r! |
Ω |
0.65753999537124 |
Real period |
R |
1.421506090706 |
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 |
5568bc1 174b1 16704bh1 |
Quadratic twists by: -4 8 -3 |