Atkin-Lehner |
2+ 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150c |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
37918945312500 = 22 · 3 · 512 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8400,-10500] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:565:1] |
Generators of the group modulo torsion |
j |
4195872914689/2426812500 |
j-invariant |
L |
2.7299423706716 |
L(r)(E,1)/r! |
Ω |
0.54608095395675 |
Real period |
R |
1.2497883101806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030x2 |
Quadratic twists by: 5 |