Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152v |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2042966209536 = -1 · 210 · 37 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2949,30490] |
[a1,a2,a3,a4,a6] |
Generators |
[6:220:1] |
Generators of the group modulo torsion |
j |
3799448348/2736741 |
j-invariant |
L |
4.3558519302304 |
L(r)(E,1)/r! |
Ω |
0.52590069526933 |
Real period |
R |
4.1413255101323 |
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 |
9576w4 76608fm3 6384k4 |
Quadratic twists by: -4 8 -3 |