Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4700k |
Isogeny class |
Conductor |
4700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-156149792000 = -1 · 28 · 53 · 474 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3655,87150] |
[a1,a2,a3,a4,a6] |
j |
-168746928912/4879681 |
j-invariant |
L |
2.0432704767574 |
L(r)(E,1)/r! |
Ω |
1.0216352383787 |
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 |
18800bh2 75200bq2 42300x2 4700g2 |
Quadratic twists by: -4 8 -3 5 |