Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352bj |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-6144834207024488448 = -1 · 213 · 32 · 116 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-809288,-304277136] |
[a1,a2,a3,a4,a6] |
Generators |
[1676:-55176:1] [1874:68970:1] |
Generators of the group modulo torsion |
j |
-8078253774625/846825858 |
j-invariant |
L |
9.2330457404109 |
L(r)(E,1)/r! |
Ω |
0.079118353551072 |
Real period |
R |
2.4312325894981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794m4 912e4 |
Quadratic twists by: -4 -11 |