Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045y |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-21300349428683325 = -1 · 318 · 52 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,69300,-51975] |
[a1,a2,a3,a4,a6] |
Generators |
[4218:244969:216] |
Generators of the group modulo torsion |
j |
50488487724628799/29218586321925 |
j-invariant |
L |
6.052706738169 |
L(r)(E,1)/r! |
Ω |
0.22839715230194 |
Real period |
R |
6.6251994356799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015z4 |
Quadratic twists by: -3 |