Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cj |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1560000000000000000 = -1 · 218 · 3 · 516 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-507521,151415679] |
[a1,a2,a3,a4,a6] |
Generators |
[653085:14878468:729] |
Generators of the group modulo torsion |
j |
-55150149867714721/5950927734375 |
j-invariant |
L |
5.5055601665905 |
L(r)(E,1)/r! |
Ω |
0.26058941115197 |
Real period |
R |
10.563668228599 |
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 |
12480a8 3120r8 37440ex7 62400ep7 |
Quadratic twists by: -4 8 -3 5 |