Atkin-Lehner |
2- 3- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126936h |
Isogeny class |
Conductor |
126936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
1456892199936 = 210 · 39 · 412 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5854899,-5452896130] |
[a1,a2,a3,a4,a6] |
Generators |
[2488526014642677201901520:40716550706035535469719667:853287772053750272000] |
Generators of the group modulo torsion |
j |
29734076207941412548/1951641 |
j-invariant |
L |
7.2877936857174 |
L(r)(E,1)/r! |
Ω |
0.09705539976478 |
Real period |
R |
37.544503760083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42312b1 |
Quadratic twists by: -3 |