Atkin-Lehner |
2+ 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328h |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-50771963904 = -1 · 212 · 3 · 173 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 3 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,659,-8891] |
[a1,a2,a3,a4,a6] |
Generators |
[60:493:1] |
Generators of the group modulo torsion |
j |
7715442176/12395499 |
j-invariant |
L |
5.35614430319 |
L(r)(E,1)/r! |
Ω |
0.5936428877126 |
Real period |
R |
0.75187518933703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328o1 94656bz1 |
Quadratic twists by: -4 8 |