Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
13992c |
Isogeny class |
Conductor |
13992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-799905401856 = -1 · 210 · 32 · 11 · 534 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1176,-39744] |
[a1,a2,a3,a4,a6] |
Generators |
[48:360:1] |
Generators of the group modulo torsion |
j |
175499696732/781157619 |
j-invariant |
L |
4.9296077952348 |
L(r)(E,1)/r! |
Ω |
0.45183801547642 |
Real period |
R |
2.7275304569255 |
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 |
27984a3 111936a3 41976b3 |
Quadratic twists by: -4 8 -3 |