Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
480d |
Isogeny class |
Conductor |
480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2764800 = 212 · 33 · 52 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3601,-84385] |
[a1,a2,a3,a4,a6] |
j |
1261112198464/675 |
j-invariant |
L |
1.8488641146963 |
L(r)(E,1)/r! |
Ω |
0.61628803823209 |
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 |
480e3 960d1 1440n3 2400v2 |
Quadratic twists by: -4 8 -3 5 |