Atkin-Lehner |
2+ 3- 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894o |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-482464819355376 = -1 · 24 · 3 · 114 · 135 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16268,693410] |
[a1,a2,a3,a4,a6] |
Generators |
[-10668:141322:343] |
Generators of the group modulo torsion |
j |
476172794137324103/482464819355376 |
j-invariant |
L |
4.8420151124415 |
L(r)(E,1)/r! |
Ω |
0.34614956574525 |
Real period |
R |
6.9941083156035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110682bx1 |
Quadratic twists by: -3 |