Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bm |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.8954E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2138241,1005489441] |
[a1,a2,a3,a4,a6] |
j |
8248670337458940482/1446075439453125 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
12480t5 3120j5 37440ew6 62400hb6 |
Quadratic twists by: -4 8 -3 5 |