Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640s |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-7.7398278733351E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-620800,-1351899052] |
[a1,a2,a3,a4,a6] |
Generators |
[3116:164250:1] |
Generators of the group modulo torsion |
j |
-12919615360461734402/377921282877691875 |
j-invariant |
L |
10.516954864451 |
L(r)(E,1)/r! |
Ω |
0.069319726761427 |
Real period |
R |
2.1071753215838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61320t2 |
Quadratic twists by: -4 |