Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824a |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-36379736064 = -1 · 211 · 36 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-232,-9200] |
[a1,a2,a3,a4,a6] |
j |
-677217746/17763543 |
j-invariant |
L |
2.0076218812674 |
L(r)(E,1)/r! |
Ω |
0.50190547031685 |
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 |
9912h2 79296bx2 59472k2 |
Quadratic twists by: -4 8 -3 |