Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886m |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-44359331169846 = -1 · 2 · 3 · 73 · 116 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3270,328150] |
[a1,a2,a3,a4,a6] |
Generators |
[10:539:1] |
Generators of the group modulo torsion |
j |
-2181825073/25039686 |
j-invariant |
L |
2.4805845545413 |
L(r)(E,1)/r! |
Ω |
0.54440821609686 |
Real period |
R |
2.2782394387637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
966k2 |
Quadratic twists by: -11 |