Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650bx |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
67092480 |
Modular degree for the optimal curve |
Δ |
-1.9715917864505E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3056879133,-18221972612459] |
[a1,a2,a3,a4,a6] |
j |
2218712073897830722499107/1384711926834951880704 |
j-invariant |
L |
1.633009877555 |
L(r)(E,1)/r! |
Ω |
0.015120461829224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550ca1 34650dv1 |
Quadratic twists by: -3 5 |