Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7920z |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
846806400000000 = 213 · 37 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-559443,-161051758] |
[a1,a2,a3,a4,a6] |
Generators |
[-431:72:1] |
Generators of the group modulo torsion |
j |
6484907238722641/283593750 |
j-invariant |
L |
3.8641672501845 |
L(r)(E,1)/r! |
Ω |
0.17456683308876 |
Real period |
R |
1.3834841869059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
990e5 31680dt6 2640q5 39600cx6 |
Quadratic twists by: -4 8 -3 5 |