Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480x |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2492006400 = 216 · 32 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2081,35775] |
[a1,a2,a3,a4,a6] |
j |
15214885924/38025 |
j-invariant |
L |
2.9022916363111 |
L(r)(E,1)/r! |
Ω |
1.4511458181556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480bq2 1560k2 37440ck2 62400bi2 |
Quadratic twists by: -4 8 -3 5 |