Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
12936n |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.2777091325807E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,682848,74301228] |
[a1,a2,a3,a4,a6] |
Generators |
[14410960720:-2418714028073:512000] |
Generators of the group modulo torsion |
j |
146142660369886/94532266521 |
j-invariant |
L |
4.5634407732481 |
L(r)(E,1)/r! |
Ω |
0.13361016880743 |
Real period |
R |
17.077445579106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25872w5 103488eb5 38808bg5 1848j6 |
Quadratic twists by: -4 8 -3 -7 |