Atkin-Lehner |
2- 3- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
56772h |
Isogeny class |
Conductor |
56772 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-219846617856 = -1 · 28 · 38 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -3 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96,-22556] |
[a1,a2,a3,a4,a6] |
Generators |
[36:166:1] |
Generators of the group modulo torsion |
j |
524288/1178019 |
j-invariant |
L |
4.9774801911166 |
L(r)(E,1)/r! |
Ω |
0.46252313303503 |
Real period |
R |
0.89679842218789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18924a1 |
Quadratic twists by: -3 |