Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111188a |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
114829538169817856 = 28 · 74 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11+ 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50847692,139575028040] |
[a1,a2,a3,a4,a6] |
Generators |
[3426038209112403300:51777294741685029113:721734273000000] |
Generators of the group modulo torsion |
j |
1207190708992683088/9534371 |
j-invariant |
L |
11.773038124872 |
L(r)(E,1)/r! |
Ω |
0.23003171260496 |
Real period |
R |
25.590032748918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5852a2 |
Quadratic twists by: -19 |