Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840ef |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8179384320 = -1 · 215 · 33 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,468,1936] |
[a1,a2,a3,a4,a6] |
Generators |
[0:44:1] [21:145:1] |
Generators of the group modulo torsion |
j |
12812904/9245 |
j-invariant |
L |
12.369786906405 |
L(r)(E,1)/r! |
Ω |
0.83330711338619 |
Real period |
R |
7.4221056706553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dy2 61920bd2 123840du2 |
Quadratic twists by: -4 8 -3 |