Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008be |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2838804215496704 = -1 · 217 · 78 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52204,5258160] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:2940:1] |
Generators of the group modulo torsion |
j |
-120039762869154/21658357357 |
j-invariant |
L |
7.1964347620152 |
L(r)(E,1)/r! |
Ω |
0.43513519938124 |
Real period |
R |
2.0672984992183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008cd2 12376n2 |
Quadratic twists by: -4 8 |