Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dn |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
76438812240 = 24 · 34 · 5 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8041,274550] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:714:1] |
Generators of the group modulo torsion |
j |
3594081530527744/4777425765 |
j-invariant |
L |
6.1287655154888 |
L(r)(E,1)/r! |
Ω |
1.0857183043806 |
Real period |
R |
0.47040789269501 |
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 |
7140c1 114240hp1 85680fp1 |
Quadratic twists by: -4 8 -3 |