Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248m |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-858059113472 = -1 · 210 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ -1 0 0 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,46576] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:242:1] [30:206:1] |
Generators of the group modulo torsion |
j |
-62500/473 |
j-invariant |
L |
9.0156866504661 |
L(r)(E,1)/r! |
Ω |
0.76344298106442 |
Real period |
R |
1.4761558613833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41624p1 7568f1 |
Quadratic twists by: -4 -11 |