Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150cb |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5653842153750000 = 24 · 33 · 57 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14112963,20400943281] |
[a1,a2,a3,a4,a6] |
Generators |
[-4335:13992:1] |
Generators of the group modulo torsion |
j |
19895657538287388043369/361845897840 |
j-invariant |
L |
8.4067437480748 |
L(r)(E,1)/r! |
Ω |
0.30658054641231 |
Real period |
R |
3.4276244230308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030j3 |
Quadratic twists by: 5 |