Atkin-Lehner |
5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60775k |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-4748046875 = -1 · 59 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 -3 5+ -1 11- 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,270,2772] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-65:1] |
Generators of the group modulo torsion |
j |
139798359/303875 |
j-invariant |
L |
1.44866177603 |
L(r)(E,1)/r! |
Ω |
0.95161215686355 |
Real period |
R |
0.38058093470715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12155f1 |
Quadratic twists by: 5 |