Atkin-Lehner |
2+ 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8496c |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-140321839104 = -1 · 211 · 39 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,621,17010] |
[a1,a2,a3,a4,a6] |
j |
657018/3481 |
j-invariant |
L |
2.9811604359619 |
L(r)(E,1)/r! |
Ω |
0.74529010899047 |
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 |
4248a2 33984bb2 8496a2 |
Quadratic twists by: -4 8 -3 |