Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120j |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-107327462400 = -1 · 210 · 310 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,-18574] |
[a1,a2,a3,a4,a6] |
Generators |
[91:810:1] |
Generators of the group modulo torsion |
j |
-96550276/143775 |
j-invariant |
L |
6.0662001327928 |
L(r)(E,1)/r! |
Ω |
0.41771138820204 |
Real period |
R |
1.8153084594218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25560l1 17040c1 |
Quadratic twists by: -4 -3 |