Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5600u |
Isogeny class |
Conductor |
5600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
392000000 = 29 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-588] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
125000/49 |
j-invariant |
L |
5.4104622922445 |
L(r)(E,1)/r! |
Ω |
1.2994594357747 |
Real period |
R |
2.0818126919903 |
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 |
5600p2 11200cr2 50400bo2 224a2 |
Quadratic twists by: -4 8 -3 5 |