Atkin-Lehner |
2+ 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656c |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-1831278592 = -1 · 211 · 11 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ -2 2 5 11+ 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-632,-6668] |
[a1,a2,a3,a4,a6] |
j |
-13653122546/894179 |
j-invariant |
L |
1.8969377288863 |
L(r)(E,1)/r! |
Ω |
0.47423444704512 |
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 |
42328d1 |
Quadratic twists by: -4 |