Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1193175451776000 = 210 · 3 · 53 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4312800,-3445926000] |
[a1,a2,a3,a4,a6] |
Generators |
[8405:744310:1] |
Generators of the group modulo torsion |
j |
73639964854838596/9904125 |
j-invariant |
L |
5.2865152784777 |
L(r)(E,1)/r! |
Ω |
0.10476343268026 |
Real period |
R |
4.2051213012606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999436193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bf4 18480r4 |
Quadratic twists by: -4 -7 |