Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bm |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
163993294080 = 28 · 32 · 5 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11580,483120] |
[a1,a2,a3,a4,a6] |
Generators |
[12:588:1] |
Generators of the group modulo torsion |
j |
5702413264/5445 |
j-invariant |
L |
4.867551578798 |
L(r)(E,1)/r! |
Ω |
1.0153332586034 |
Real period |
R |
1.1985108171495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680dl2 2640g2 |
Quadratic twists by: -4 -7 |