Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4872g |
Isogeny class |
Conductor |
4872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
273768671232 = 211 · 33 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8344,289520] |
[a1,a2,a3,a4,a6] |
Generators |
[59:78:1] |
Generators of the group modulo torsion |
j |
31373913421874/133676109 |
j-invariant |
L |
4.1943387992476 |
L(r)(E,1)/r! |
Ω |
0.98311216021677 |
Real period |
R |
2.8442592608645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9744a3 38976k3 14616p3 121800ba3 |
Quadratic twists by: -4 8 -3 5 |