Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56800m |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
71000000000000 = 212 · 512 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -4 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13633,-454863] |
[a1,a2,a3,a4,a6] |
j |
4378747456/1109375 |
j-invariant |
L |
3.6004984550268 |
L(r)(E,1)/r! |
Ω |
0.45006230648371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56800f2 113600k1 11360g2 |
Quadratic twists by: -4 8 5 |