Atkin-Lehner |
5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36335a |
Isogeny class |
Conductor |
36335 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
-30703075 = -1 · 52 · 134 · 43 |
Discriminant |
Eigenvalues |
1 2 5+ 2 5 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-268] |
[a1,a2,a3,a4,a6] |
j |
-169/1075 |
j-invariant |
L |
5.6938669099592 |
L(r)(E,1)/r! |
Ω |
0.94897781833089 |
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 |
36335f1 |
Quadratic twists by: 13 |