Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296i |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-26461853881122816 = -1 · 214 · 39 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61764,-5133040] |
[a1,a2,a3,a4,a6] |
Generators |
[85:855:1] [917:28681:1] |
Generators of the group modulo torsion |
j |
2181636984368/2215505331 |
j-invariant |
L |
10.229615507933 |
L(r)(E,1)/r! |
Ω |
0.20421296045275 |
Real period |
R |
25.046440450589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296ch2 15912g2 42432d2 |
Quadratic twists by: -4 8 -3 |