Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5600d |
Isogeny class |
Conductor |
5600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1152960200000000 = 29 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26675,378250] |
[a1,a2,a3,a4,a6] |
j |
262389836808/144120025 |
j-invariant |
L |
1.6970762500447 |
L(r)(E,1)/r! |
Ω |
0.42426906251117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5600a3 11200ch3 50400dl3 1120l2 |
Quadratic twists by: -4 8 -3 5 |