Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34104z |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
1739929330944 = 28 · 314 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -4 -3 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4097,77139] |
[a1,a2,a3,a4,a6] |
Generators |
[13:162:1] |
Generators of the group modulo torsion |
j |
606445192192/138706101 |
j-invariant |
L |
4.9871079637742 |
L(r)(E,1)/r! |
Ω |
0.78970213260307 |
Real period |
R |
0.22554200039845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208n1 102312m1 34104u1 |
Quadratic twists by: -4 -3 -7 |