Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
2880r |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31345665638400 = 218 · 314 · 52 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77772,8343664] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:4032:1] |
Generators of the group modulo torsion |
j |
272223782641/164025 |
j-invariant |
L |
3.452639368572 |
L(r)(E,1)/r! |
Ω |
0.65166315835154 |
Real period |
R |
2.6490981762003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2880bd5 45a5 960g5 14400y5 |
Quadratic twists by: -4 8 -3 5 |