Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136m |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-59014987776 = -1 · 214 · 310 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 5 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3612,-84368] |
[a1,a2,a3,a4,a6] |
j |
-436334416/4941 |
j-invariant |
L |
2.4616688447191 |
L(r)(E,1)/r! |
Ω |
0.3077086055903 |
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 |
35136bv1 2196e1 11712i1 |
Quadratic twists by: -4 8 -3 |