Atkin-Lehner |
2+ 3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426v |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30160158524981604 = 22 · 37 · 7 · 198 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141363,-18638015] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:1067:1] [545:7850:1] |
Generators of the group modulo torsion |
j |
428553623453627953/41371959567876 |
j-invariant |
L |
7.196667405453 |
L(r)(E,1)/r! |
Ω |
0.24774256953991 |
Real period |
R |
1.815560860908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142y3 |
Quadratic twists by: -3 |