Atkin-Lehner |
2+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116242k |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
110555386760667632 = 24 · 72 · 1910 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- -4 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-689517,219508205] |
[a1,a2,a3,a4,a6] |
Generators |
[74:12959:1] |
Generators of the group modulo torsion |
j |
770616005574241/2349948272 |
j-invariant |
L |
3.8254666852959 |
L(r)(E,1)/r! |
Ω |
0.33489436387947 |
Real period |
R |
2.8557263623701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118k2 |
Quadratic twists by: -19 |