Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gb |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1520589419642880 = -1 · 216 · 38 · 5 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24468,-1161776] |
[a1,a2,a3,a4,a6] |
Generators |
[50:432:1] |
Generators of the group modulo torsion |
j |
33908741276/31827645 |
j-invariant |
L |
7.5170256558745 |
L(r)(E,1)/r! |
Ω |
0.26078417777085 |
Real period |
R |
1.8015437422936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520cq3 20880g4 27840df3 |
Quadratic twists by: -4 8 -3 |