Atkin-Lehner |
2+ 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336x |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3270637294848 = 28 · 38 · 7 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5295,-120094] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:108:1] [-38:162:1] |
Generators of the group modulo torsion |
j |
87973954000/17525277 |
j-invariant |
L |
11.753182759719 |
L(r)(E,1)/r! |
Ω |
0.56746614975998 |
Real period |
R |
5.1779224038798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112s2 |
Quadratic twists by: -3 |