Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160t |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
48554311680 = 220 · 33 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6732,212336] |
[a1,a2,a3,a4,a6] |
Generators |
[40:84:1] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
5.6934388490454 |
L(r)(E,1)/r! |
Ω |
1.1283881014577 |
Real period |
R |
0.84093980928639 |
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 |
20160dd1 630a1 20160h3 100800d1 |
Quadratic twists by: -4 8 -3 5 |