Atkin-Lehner |
2+ 3+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550i |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.9799555397344E+18 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-104414875,-410712246875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1774399257:838517404:300763] |
Generators of the group modulo torsion |
j |
8057323694463985606146481/638717154543000 |
j-invariant |
L |
3.2616302382358 |
L(r)(E,1)/r! |
Ω |
0.047229023142525 |
Real period |
R |
8.6324838552311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310n3 |
Quadratic twists by: 5 |