Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384f |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2795574442752 = -1 · 28 · 33 · 72 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3441,-20862] |
[a1,a2,a3,a4,a6] |
Generators |
[31:340:1] |
Generators of the group modulo torsion |
j |
651889521936/404452321 |
j-invariant |
L |
8.2497182375021 |
L(r)(E,1)/r! |
Ω |
0.46509117937969 |
Real period |
R |
2.2172314283888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111384bm2 |
Quadratic twists by: -3 |