Atkin-Lehner |
2- 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176q |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-521861044764672 = -1 · 217 · 38 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17565,636514] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:608:1] [23:1026:1] |
Generators of the group modulo torsion |
j |
200715401375/174770208 |
j-invariant |
L |
11.238654695242 |
L(r)(E,1)/r! |
Ω |
0.33899226486236 |
Real period |
R |
2.0720706377533 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14022f2 37392n2 |
Quadratic twists by: -4 -3 |