Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ct |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7047145448275968 = -1 · 221 · 39 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153900,23586768] |
[a1,a2,a3,a4,a6] |
Generators |
[336:3132:1] |
Generators of the group modulo torsion |
j |
-78128296875/1365784 |
j-invariant |
L |
5.5415620338105 |
L(r)(E,1)/r! |
Ω |
0.42029761058062 |
Real period |
R |
1.0987377159048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928p2 29232q2 116928cp1 |
Quadratic twists by: -4 8 -3 |