Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952n |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2737618194232007424 = -1 · 28 · 33 · 1312 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,289948,52306320] |
[a1,a2,a3,a4,a6] |
Generators |
[160:10140:1] |
Generators of the group modulo torsion |
j |
2181636984368/2215505331 |
j-invariant |
L |
10.469737226273 |
L(r)(E,1)/r! |
Ω |
0.16847070434626 |
Real period |
R |
2.5894059905587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000002465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304l2 |
Quadratic twists by: 13 |