Atkin-Lehner |
3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21483j |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-516816531 = -1 · 39 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2 3- -3 7+ 11- -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,51,-1085] |
[a1,a2,a3,a4,a6] |
Generators |
[98:293:8] |
Generators of the group modulo torsion |
j |
20123648/708939 |
j-invariant |
L |
7.9616192848379 |
L(r)(E,1)/r! |
Ω |
0.79408891669117 |
Real period |
R |
1.253263192177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161a1 |
Quadratic twists by: -3 |