Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
67600cr |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4607442944000000 = -1 · 227 · 56 · 133 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128808,-18047888] |
[a1,a2,a3,a4,a6] |
Generators |
[38892:1424384:27] |
Generators of the group modulo torsion |
j |
-1680914269/32768 |
j-invariant |
L |
4.3662272427199 |
L(r)(E,1)/r! |
Ω |
0.12585826805959 |
Real period |
R |
4.3364525332771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450h2 2704n2 67600cq2 |
Quadratic twists by: -4 5 13 |