Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bj |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1478412000000 = -1 · 28 · 37 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 2 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38532,-2911844] |
[a1,a2,a3,a4,a6] |
Generators |
[497:10035:1] |
Generators of the group modulo torsion |
j |
-200601496576/46875 |
j-invariant |
L |
8.1252910607302 |
L(r)(E,1)/r! |
Ω |
0.17037586864513 |
Real period |
R |
3.9741989016799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60840t1 40560q1 121680o1 |
Quadratic twists by: -4 -3 13 |