Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5600s |
Isogeny class |
Conductor |
5600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-109760000000 = -1 · 212 · 57 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 -3 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1533,-27563] |
[a1,a2,a3,a4,a6] |
Generators |
[87:700:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
3.1922760245579 |
L(r)(E,1)/r! |
Ω |
0.37608455851288 |
Real period |
R |
0.35367445435464 |
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 |
5600b1 11200r1 50400bg1 1120b1 |
Quadratic twists by: -4 8 -3 5 |