Atkin-Lehner |
3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905u |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6.1526765712618E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,47972430,355047557445] |
[a1,a2,a3,a4,a6] |
Generators |
[-165736332:17527429333:46656] |
Generators of the group modulo torsion |
j |
16748323164863581359610079/84398855572864120299165 |
j-invariant |
L |
5.3627022575167 |
L(r)(E,1)/r! |
Ω |
0.044812510872677 |
Real period |
R |
7.4793597719032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635t8 |
Quadratic twists by: -3 |