Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045bd |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3926555083576125 = 322 · 53 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6007230,-5665579749] |
[a1,a2,a3,a4,a6] |
Generators |
[-8392541361579720:4157859327606549:5933673188864] |
Generators of the group modulo torsion |
j |
32886602196607522752481/5386220965125 |
j-invariant |
L |
7.0286557128981 |
L(r)(E,1)/r! |
Ω |
0.096434179683584 |
Real period |
R |
18.221380987438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015x4 |
Quadratic twists by: -3 |