Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
784c |
Isogeny class |
Conductor |
784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1686616064 = 211 · 77 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14651,682570] |
[a1,a2,a3,a4,a6] |
j |
1443468546/7 |
j-invariant |
L |
1.3221927707732 |
L(r)(E,1)/r! |
Ω |
1.3221927707732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
392a3 3136s4 7056x3 19600h4 |
Quadratic twists by: -4 8 -3 5 |