Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840cg |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2634778710251412480 = -1 · 210 · 37 · 5 · 712 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303987,-101294786] |
[a1,a2,a3,a4,a6] |
Generators |
[8130:202279:8] |
Generators of the group modulo torsion |
j |
-4161608878537156/3529528236255 |
j-invariant |
L |
6.7591826886635 |
L(r)(E,1)/r! |
Ω |
0.098151165808072 |
Real period |
R |
8.6081283816354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680cm3 14280o4 |
Quadratic twists by: -4 -3 |