Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
116820z |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43706388084480 = 28 · 314 · 5 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11487,351254] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:682:1] |
Generators of the group modulo torsion |
j |
898206268624/234194895 |
j-invariant |
L |
4.2851877745876 |
L(r)(E,1)/r! |
Ω |
0.59958172439478 |
Real period |
R |
3.5734809756257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38940e2 |
Quadratic twists by: -3 |