Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140k |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7882721334999302400 = -1 · 28 · 324 · 52 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-306543,150048358] |
[a1,a2,a3,a4,a6] |
Generators |
[313870:15416982:125] |
Generators of the group modulo torsion |
j |
-17069878444731856/42238518813225 |
j-invariant |
L |
7.5084922222735 |
L(r)(E,1)/r! |
Ω |
0.20683630509881 |
Real period |
R |
9.075404133427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37380k2 |
Quadratic twists by: -3 |