Atkin-Lehner |
2- 3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710z |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.6957306140908E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16946330,-26857400425] |
[a1,a2,a3,a4,a6] |
Generators |
[6355:346325:1] |
Generators of the group modulo torsion |
j |
538208672506796715360412321/16957306140908000400 |
j-invariant |
L |
7.5131324401596 |
L(r)(E,1)/r! |
Ω |
0.074410026762941 |
Real period |
R |
6.3105847146909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104130n6 |
Quadratic twists by: -3 |