Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bm |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
213206722560000 = 214 · 36 · 54 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608401,-182451599] |
[a1,a2,a3,a4,a6] |
j |
1520107298839022416/13013105625 |
j-invariant |
L |
0.34188672190618 |
L(r)(E,1)/r! |
Ω |
0.17094336095309 |
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 |
12480t2 3120j2 37440ew2 62400hb2 |
Quadratic twists by: -4 8 -3 5 |