Atkin-Lehner |
2+ 3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
45264d |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
599657472 = 210 · 33 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23608,1404064] |
[a1,a2,a3,a4,a6] |
Generators |
[105:268:1] |
Generators of the group modulo torsion |
j |
1421083971062500/585603 |
j-invariant |
L |
4.7658222608377 |
L(r)(E,1)/r! |
Ω |
1.3246589727192 |
Real period |
R |
3.597772980811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22632c2 |
Quadratic twists by: -4 |