Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3234k |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-32286179772 = -1 · 22 · 34 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,219,8572] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:78:1] |
Generators of the group modulo torsion |
j |
9938375/274428 |
j-invariant |
L |
3.0510887796829 |
L(r)(E,1)/r! |
Ω |
0.87900916696025 |
Real period |
R |
0.21694091017234 |
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 |
25872br1 103488bm1 9702bz1 80850dy1 |
Quadratic twists by: -4 8 -3 5 |