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 |
-2632142357913600 = -1 · 213 · 38 · 52 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15584,2346880] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:920:1] |
Generators of the group modulo torsion |
j |
102181603702751/642612880350 |
j-invariant |
L |
3.2488654957075 |
L(r)(E,1)/r! |
Ω |
0.33016316648904 |
Real period |
R |
0.61501134618103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bd4 115920ea3 |
Quadratic twists by: -4 -3 |