Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5208l |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-122611908335616 = -1 · 211 · 33 · 74 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14544,-864864] |
[a1,a2,a3,a4,a6] |
Generators |
[1722:19635:8] |
Generators of the group modulo torsion |
j |
-166140387034274/59869095867 |
j-invariant |
L |
4.0483789082588 |
L(r)(E,1)/r! |
Ω |
0.21351154180228 |
Real period |
R |
6.3203123573334 |
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 |
10416f4 41664e3 15624g4 36456t3 |
Quadratic twists by: -4 8 -3 -7 |