Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120r |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
36169740800000 = 212 · 55 · 414 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14425,-605625] |
[a1,a2,a3,a4,a6] |
j |
81047819728576/8830503125 |
j-invariant |
L |
2.1935431687259 |
L(r)(E,1)/r! |
Ω |
0.43870863374517 |
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 |
13120q2 6560b1 118080bm2 65600f2 |
Quadratic twists by: -4 8 -3 5 |