Atkin-Lehner |
2- 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810du |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
52122690081000000 = 26 · 39 · 56 · 72 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-294593,-60481519] |
[a1,a2,a3,a4,a6] |
Generators |
[-303:1096:1] |
Generators of the group modulo torsion |
j |
3878484596972846281/71498889000000 |
j-invariant |
L |
9.9956708491316 |
L(r)(E,1)/r! |
Ω |
0.20515406967949 |
Real period |
R |
2.0301146581852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bo1 |
Quadratic twists by: -3 |