Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cj |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
155750400000000 = 218 · 32 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-520001,144154815] |
[a1,a2,a3,a4,a6] |
Generators |
[901:20196:1] |
Generators of the group modulo torsion |
j |
59319456301170001/594140625 |
j-invariant |
L |
5.5055601665905 |
L(r)(E,1)/r! |
Ω |
0.52117882230393 |
Real period |
R |
5.2818341142993 |
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 |
12480a5 3120r5 37440ex6 62400ep6 |
Quadratic twists by: -4 8 -3 5 |