Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400g |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
105499940000000 = 28 · 57 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89908,-10334688] |
[a1,a2,a3,a4,a6] |
j |
20093868785104/26374985 |
j-invariant |
L |
3.3087583127966 |
L(r)(E,1)/r! |
Ω |
0.27572985940181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18200u1 7280d1 |
Quadratic twists by: -4 5 |