Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200l |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44946720000000 = 211 · 32 · 57 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-624408,190119312] |
[a1,a2,a3,a4,a6] |
Generators |
[432:900:1] [-768:14700:1] |
Generators of the group modulo torsion |
j |
841356017734178/1404585 |
j-invariant |
L |
9.5151550938408 |
L(r)(E,1)/r! |
Ω |
0.54630563716001 |
Real period |
R |
2.1771592780809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bb4 21840q4 |
Quadratic twists by: -4 5 |