Atkin-Lehner |
2- 3+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598p |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
1188 |
Product of Tamagawa factors cp |
Δ |
8.4084672182761E+26 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-437356721,-3232130054687] |
[a1,a2,a3,a4,a6] |
Generators |
[-13913:406340:1] |
Generators of the group modulo torsion |
j |
470045428544099535305894379/42719439202743900219392 |
j-invariant |
L |
12.94729956736 |
L(r)(E,1)/r! |
Ω |
0.033205361055323 |
Real period |
R |
0.32821207066537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59598d1 |
Quadratic twists by: -3 |