Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722fj |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-733683950656272 = -1 · 24 · 315 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35069,-2835115] |
[a1,a2,a3,a4,a6] |
Generators |
[345:-5276:1] |
Generators of the group modulo torsion |
j |
-2047314227/314928 |
j-invariant |
L |
12.188250674015 |
L(r)(E,1)/r! |
Ω |
0.17297083115008 |
Real period |
R |
0.73400204838393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574r1 106722fz1 106722bk1 |
Quadratic twists by: -3 -7 -11 |