Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bj |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21499914240000 = 214 · 34 · 54 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12416,487680] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:1008:1] |
Generators of the group modulo torsion |
j |
51682540549249/5249002500 |
j-invariant |
L |
3.2488654957075 |
L(r)(E,1)/r! |
Ω |
0.66032633297808 |
Real period |
R |
1.2300226923621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830bd2 115920ea2 |
Quadratic twists by: -4 -3 |