Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
22720bd |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
59559116800 = 225 · 52 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -6 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4481,-113375] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:20:1] |
Generators of the group modulo torsion |
j |
37966934881/227200 |
j-invariant |
L |
3.8054402518165 |
L(r)(E,1)/r! |
Ω |
0.58371959110945 |
Real period |
R |
1.629823767172 |
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 |
22720a1 5680j1 113600cj1 |
Quadratic twists by: -4 8 5 |