Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
2880h |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16124313600 = 215 · 39 · 52 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-9936] |
[a1,a2,a3,a4,a6] |
j |
157464/25 |
j-invariant |
L |
1.7283938830365 |
L(r)(E,1)/r! |
Ω |
0.86419694151825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2880e2 1440a2 2880d2 14400e2 |
Quadratic twists by: -4 8 -3 5 |