Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bj |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-383427330048 = -1 · 214 · 33 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93,-29790] |
[a1,a2,a3,a4,a6] |
Generators |
[33:96:1] [49:304:1] |
Generators of the group modulo torsion |
j |
804357/3467044 |
j-invariant |
L |
5.8530410785003 |
L(r)(E,1)/r! |
Ω |
0.44052360534086 |
Real period |
R |
1.6608193657332 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2394c2 76608dk2 19152bi2 |
Quadratic twists by: -4 8 -3 |