Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gk |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
22809845278015488 = 215 · 36 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84965,6191133] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:3936:1] |
Generators of the group modulo torsion |
j |
1071912625/360448 |
j-invariant |
L |
10.978843542324 |
L(r)(E,1)/r! |
Ω |
0.35039274248026 |
Real period |
R |
1.044432165124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858m1 106722fo1 9702v1 |
Quadratic twists by: -3 -7 -11 |