Atkin-Lehner |
2- 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40936g |
Isogeny class |
Conductor |
40936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-3063438027776 = -1 · 210 · 72 · 175 · 43 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 4 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3080,51548] |
[a1,a2,a3,a4,a6] |
j |
3154531675676/2991638699 |
j-invariant |
L |
2.0981489794475 |
L(r)(E,1)/r! |
Ω |
0.52453724487442 |
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 |
81872h1 |
Quadratic twists by: -4 |