Atkin-Lehner |
2- 3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650by |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-2.6485061214459E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3184487,1161733031] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:26472:1] |
Generators of the group modulo torsion |
j |
228571521134288888375/169504391772536832 |
j-invariant |
L |
9.4936997121458 |
L(r)(E,1)/r! |
Ω |
0.091887501083853 |
Real period |
R |
1.7219787966119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706g4 |
Quadratic twists by: 5 |