Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7470o |
Isogeny class |
Conductor |
7470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
12454961763240 = 23 · 38 · 5 · 834 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18572,963879] |
[a1,a2,a3,a4,a6] |
j |
971740460214649/17084995560 |
j-invariant |
L |
4.2752019630833 |
L(r)(E,1)/r! |
Ω |
0.71253366051388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59760bp3 2490d3 37350u3 |
Quadratic twists by: -4 -3 5 |