Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89304j |
Isogeny class |
Conductor |
89304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.7507410361396E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-909164,37208484] |
[a1,a2,a3,a4,a6] |
Generators |
[-488:19090:1] [-20:7442:1] |
Generators of the group modulo torsion |
j |
6301325392/3601989 |
j-invariant |
L |
7.4735095348655 |
L(r)(E,1)/r! |
Ω |
0.17246277862868 |
Real period |
R |
5.416755425694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1464a2 |
Quadratic twists by: 61 |