Atkin-Lehner |
3- 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
21063c |
Isogeny class |
Conductor |
21063 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-322453467 = -1 · 38 · 72 · 17 · 59 |
Discriminant |
Eigenvalues |
0 3- 0 7+ -5 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-133,1003] |
[a1,a2,a3,a4,a6] |
Generators |
[11:31:1] |
Generators of the group modulo torsion |
j |
-262144000000/322453467 |
j-invariant |
L |
4.5002830339887 |
L(r)(E,1)/r! |
Ω |
1.5520504245358 |
Real period |
R |
0.18122329350764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63189f1 |
Quadratic twists by: -3 |