Atkin-Lehner |
2- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470j |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-611587738090 = -1 · 2 · 5 · 78 · 1032 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1877,-21339] |
[a1,a2,a3,a4,a6] |
j |
6219352719/5198410 |
j-invariant |
L |
4.0457861788651 |
L(r)(E,1)/r! |
Ω |
0.50572327239584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7210h2 |
Quadratic twists by: -7 |