Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990y |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
29466834960937500 = 22 · 310 · 512 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124479,14780353] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:5729:1] |
Generators of the group modulo torsion |
j |
292608150174064369/40420898437500 |
j-invariant |
L |
3.9334989040678 |
L(r)(E,1)/r! |
Ω |
0.35818490399794 |
Real period |
R |
0.45757313007895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330p3 |
Quadratic twists by: -3 |