Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040bg |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.9694822842611E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,908652464,1971849036736] |
[a1,a2,a3,a4,a6] |
Generators |
[861204335360440061300324234454713422233854:637139261060450942567357314854597678346406250:1578256778990333352540775319608070519] |
Generators of the group modulo torsion |
j |
20256163298695449475033127471/12132525108059261718750000 |
j-invariant |
L |
5.0454359312607 |
L(r)(E,1)/r! |
Ω |
0.021827450173536 |
Real period |
R |
57.787738546933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bc4 |
Quadratic twists by: -4 |