Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45024d |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5849951030784 = 29 · 34 · 7 · 674 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7544,221256] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1830:1] |
Generators of the group modulo torsion |
j |
92750520881096/11425685607 |
j-invariant |
L |
6.3502312572089 |
L(r)(E,1)/r! |
Ω |
0.73163694624158 |
Real period |
R |
4.3397420604697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45024j3 90048b4 |
Quadratic twists by: -4 8 |