Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5600t |
Isogeny class |
Conductor |
5600 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-6588344000000000 = -1 · 212 · 59 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 5 -5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37133,-4766363] |
[a1,a2,a3,a4,a6] |
Generators |
[347:4900:1] |
Generators of the group modulo torsion |
j |
-88478050816/102942875 |
j-invariant |
L |
3.3655830911836 |
L(r)(E,1)/r! |
Ω |
0.16456827864621 |
Real period |
R |
0.73039225482883 |
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 |
5600o1 11200ck1 50400bt1 1120f1 |
Quadratic twists by: -4 8 -3 5 |