Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120j |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
84697039831040 = 216 · 5 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10988,-21968] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:637:1] |
Generators of the group modulo torsion |
j |
2238719766084/1292374265 |
j-invariant |
L |
4.8350199567235 |
L(r)(E,1)/r! |
Ω |
0.50894005580956 |
Real period |
R |
0.52778753951818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120bm1 3640g1 |
Quadratic twists by: -4 8 |