Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cy |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-107986944000000 = -1 · 220 · 3 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3455,494975] |
[a1,a2,a3,a4,a6] |
j |
17394111071/411937500 |
j-invariant |
L |
2.6739990166293 |
L(r)(E,1)/r! |
Ω |
0.44566650277156 |
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 |
12480l3 3120q3 37440dy3 62400eu3 |
Quadratic twists by: -4 8 -3 5 |