Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bj |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
65224605600000000 = 211 · 32 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1459040,678717600] |
[a1,a2,a3,a4,a6] |
Generators |
[677:882:1] |
Generators of the group modulo torsion |
j |
1425631925916578/270703125 |
j-invariant |
L |
6.4019420722425 |
L(r)(E,1)/r! |
Ω |
0.33836594841855 |
Real period |
R |
2.3650215388367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037633 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680dj4 18480w3 |
Quadratic twists by: -4 -7 |