Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3822bb |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-165691588608 = -1 · 216 · 34 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -1 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3725,89361] |
[a1,a2,a3,a4,a6] |
Generators |
[130:-1409:1] |
Generators of the group modulo torsion |
j |
-2380771254001/69009408 |
j-invariant |
L |
4.9541559844002 |
L(r)(E,1)/r! |
Ω |
1.0165693250407 |
Real period |
R |
0.025382327713902 |
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 |
30576bk1 122304g1 11466l1 95550d1 |
Quadratic twists by: -4 8 -3 5 |