Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52560f |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-134260104960000 = -1 · 211 · 39 · 54 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4893,-541694] |
[a1,a2,a3,a4,a6] |
Generators |
[77:540:1] |
Generators of the group modulo torsion |
j |
8677445182/89926875 |
j-invariant |
L |
5.59957929056 |
L(r)(E,1)/r! |
Ω |
0.28783581509334 |
Real period |
R |
0.6079398172595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26280d2 17520e2 |
Quadratic twists by: -4 -3 |