Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966bf |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-57146332156024608 = -1 · 25 · 321 · 7 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -5 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-334629,-75305291] |
[a1,a2,a3,a4,a6] |
Generators |
[689:4223:1] [1439:48488:1] |
Generators of the group modulo torsion |
j |
-233073901963421/3214155168 |
j-invariant |
L |
6.6701602120457 |
L(r)(E,1)/r! |
Ω |
0.099168183438085 |
Real period |
R |
8.4076363765044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322y2 105966co2 |
Quadratic twists by: -3 29 |