Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720a |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
8 |
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 |
[11:256:1] |
Generators of the group modulo torsion |
j |
37966934881/227200 |
j-invariant |
L |
5.5438027911064 |
L(r)(E,1)/r! |
Ω |
1.1168592887933 |
Real period |
R |
0.62046791018501 |
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 |
22720bd1 710c1 113600e1 |
Quadratic twists by: -4 8 5 |