Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760ci |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-285696000000 = -1 · 216 · 32 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-961,27839] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:192:1] |
Generators of the group modulo torsion |
j |
-1499221444/4359375 |
j-invariant |
L |
6.0355882521601 |
L(r)(E,1)/r! |
Ω |
0.85823974028338 |
Real period |
R |
1.7581300331558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760m1 7440c1 89280fl1 |
Quadratic twists by: -4 8 -3 |