Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
496f |
Isogeny class |
Conductor |
496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15745024 = 214 · 312 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331,-2310] |
[a1,a2,a3,a4,a6] |
Generators |
[39:210:1] |
Generators of the group modulo torsion |
j |
979146657/3844 |
j-invariant |
L |
1.7961902527622 |
L(r)(E,1)/r! |
Ω |
1.1195541660226 |
Real period |
R |
3.2087598925981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62a2 1984j2 4464x2 12400r2 |
Quadratic twists by: -4 8 -3 5 |