Atkin-Lehner |
2- 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19380a |
Isogeny class |
Conductor |
19380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
321347047500000000 = 28 · 34 · 510 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2709476,-1715508024] |
[a1,a2,a3,a4,a6] |
j |
8592901480031083161424/1255261904296875 |
j-invariant |
L |
0.70604644632573 |
L(r)(E,1)/r! |
Ω |
0.11767440772096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520ch2 58140n2 96900y2 |
Quadratic twists by: -4 -3 5 |