Atkin-Lehner |
3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
819a |
Isogeny class |
Conductor |
819 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-162994923 = -1 · 39 · 72 · 132 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,93,-532] |
[a1,a2,a3,a4,a6] |
Generators |
[8:22:1] |
Generators of the group modulo torsion |
j |
4492125/8281 |
j-invariant |
L |
2.7129683859921 |
L(r)(E,1)/r! |
Ω |
0.95098158501416 |
Real period |
R |
1.4264042694116 |
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 |
13104bk2 52416n2 819b2 20475k2 |
Quadratic twists by: -4 8 -3 5 |