Atkin-Lehner |
2- 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434bj |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-559105092 = -1 · 22 · 36 · 73 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 5 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,-1141] |
[a1,a2,a3,a4,a6] |
j |
-47045881/766948 |
j-invariant |
L |
8.4451590946675 |
L(r)(E,1)/r! |
Ω |
0.70376325892846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826d1 |
Quadratic twists by: -3 |