Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19044d |
Isogeny class |
Conductor |
19044 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
394597151561196288 = 28 · 39 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185679,-5913162] |
[a1,a2,a3,a4,a6] |
Generators |
[15111:1856790:1] |
Generators of the group modulo torsion |
j |
949104/529 |
j-invariant |
L |
5.8185277910422 |
L(r)(E,1)/r! |
Ω |
0.24680272397976 |
Real period |
R |
3.9292703751515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76176bl2 19044e2 828b2 |
Quadratic twists by: -4 -3 -23 |