Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384bm |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2037973768766208 = -1 · 28 · 39 · 72 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30969,563274] |
[a1,a2,a3,a4,a6] |
Generators |
[9:918:1] |
Generators of the group modulo torsion |
j |
651889521936/404452321 |
j-invariant |
L |
6.0524681556832 |
L(r)(E,1)/r! |
Ω |
0.2878348016288 |
Real period |
R |
1.3142234972237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111384f2 |
Quadratic twists by: -3 |