Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650ej |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
-4.1962542950253E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-482456930,-4090602439303] |
[a1,a2,a3,a4,a6] |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
5.2174954151739 |
L(r)(E,1)/r! |
Ω |
0.016103380911081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550bg1 34650n1 |
Quadratic twists by: -3 5 |