Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840bu |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-18375273153331200 = -1 · 215 · 38 · 52 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64212,-1819888] |
[a1,a2,a3,a4,a6] |
Generators |
[157:3483:1] |
Generators of the group modulo torsion |
j |
1225730068408/769230225 |
j-invariant |
L |
4.8949885872352 |
L(r)(E,1)/r! |
Ω |
0.22296162053483 |
Real period |
R |
1.3721499941759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840bf3 61920q2 41280s3 |
Quadratic twists by: -4 8 -3 |