Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376bl |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
328397873627529216 = 220 · 310 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15918339,24445248770] |
[a1,a2,a3,a4,a6] |
j |
149392736901862384897/109979783424 |
j-invariant |
L |
2.0237887651521 |
L(r)(E,1)/r! |
Ω |
0.25297359567759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5922g2 15792x2 |
Quadratic twists by: -4 -3 |