Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bj |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1043789885213644800 = 211 · 38 · 52 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-639760,-190512608] |
[a1,a2,a3,a4,a6] |
Generators |
[-446:2430:1] |
Generators of the group modulo torsion |
j |
120186986927618/4332064275 |
j-invariant |
L |
6.4019420722425 |
L(r)(E,1)/r! |
Ω |
0.16918297420927 |
Real period |
R |
2.3650215388367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680dj3 18480w4 |
Quadratic twists by: -4 -7 |