Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24206k |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-53324053479424 = -1 · 218 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 2 3 7- -3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1569,-352801] |
[a1,a2,a3,a4,a6] |
Generators |
[447:9184:1] |
Generators of the group modulo torsion |
j |
-3630961153/453246976 |
j-invariant |
L |
13.007793019979 |
L(r)(E,1)/r! |
Ω |
0.27977292222446 |
Real period |
R |
1.2915030554616 |
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 |
3458f1 |
Quadratic twists by: -7 |