Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7326f |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-5775084158976 = -1 · 216 · 39 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,214,115561] |
[a1,a2,a3,a4,a6] |
Generators |
[17:343:1] |
Generators of the group modulo torsion |
j |
55306341/293404672 |
j-invariant |
L |
5.5035343544851 |
L(r)(E,1)/r! |
Ω |
0.59710125337798 |
Real period |
R |
0.57606795365002 |
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 |
58608v1 7326a1 80586a1 |
Quadratic twists by: -4 -3 -11 |