Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045y |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
332815258400625 = 312 · 54 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17325,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1134:4347:8] |
Generators of the group modulo torsion |
j |
788914637557201/456536705625 |
j-invariant |
L |
6.052706738169 |
L(r)(E,1)/r! |
Ω |
0.45679430460389 |
Real period |
R |
3.31259971784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015z2 |
Quadratic twists by: -3 |