Atkin-Lehner |
2- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264x |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-1.1787046124735E+19 |
Discriminant |
Eigenvalues |
2- 3 1 -2 3 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-424012,-196413808] |
[a1,a2,a3,a4,a6] |
j |
-32160162425274729/44964012621824 |
j-invariant |
L |
6.4087710317402 |
L(r)(E,1)/r! |
Ω |
0.089010708773952 |
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 |
35264o1 8816n1 |
Quadratic twists by: -4 8 |