Atkin-Lehner |
2- 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53088n |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-6795264 = -1 · 212 · 3 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,203] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
-6229504/1659 |
j-invariant |
L |
4.6986570493148 |
L(r)(E,1)/r! |
Ω |
2.2499772095486 |
Real period |
R |
1.0441565873127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53088d1 106176a1 |
Quadratic twists by: -4 8 |