Atkin-Lehner |
2+ 3+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270h |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-18965210880 = -1 · 28 · 3 · 5 · 74 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,382,6132] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-90:1] |
Generators of the group modulo torsion |
j |
6139545014231/18965210880 |
j-invariant |
L |
2.89973995744 |
L(r)(E,1)/r! |
Ω |
0.86220960423015 |
Real period |
R |
0.840787420835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810en1 |
Quadratic twists by: -3 |