Atkin-Lehner |
2- 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826be |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
745670772 = 22 · 310 · 7 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-606146,-181489363] |
[a1,a2,a3,a4,a6] |
Generators |
[2973:154357:1] |
Generators of the group modulo torsion |
j |
33785258237969481433/1022868 |
j-invariant |
L |
7.6575092369001 |
L(r)(E,1)/r! |
Ω |
0.17110208421339 |
Real period |
R |
5.5942547923629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18942j3 |
Quadratic twists by: -3 |