Atkin-Lehner |
3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46827k |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-7391078948979 = -1 · 317 · 113 · 43 |
Discriminant |
Eigenvalues |
-1 3- 3 1 11+ 2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2696,142134] |
[a1,a2,a3,a4,a6] |
j |
-2232681443/7617321 |
j-invariant |
L |
2.6057422086349 |
L(r)(E,1)/r! |
Ω |
0.65143555223417 |
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 |
15609a1 46827l1 |
Quadratic twists by: -3 -11 |