Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760cf |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-54853632000 = -1 · 219 · 33 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,11295] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:96:1] |
Generators of the group modulo torsion |
j |
1685159/209250 |
j-invariant |
L |
6.0530275311769 |
L(r)(E,1)/r! |
Ω |
0.85969261543709 |
Real period |
R |
0.58674339161904 |
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 |
29760h1 7440l1 89280fc1 |
Quadratic twists by: -4 8 -3 |