Atkin-Lehner |
2+ 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89304d |
Isogeny class |
Conductor |
89304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.122106029772E+25 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78082704,211102300764] |
[a1,a2,a3,a4,a6] |
Generators |
[1153196527304574:65420628282097560:125225135027] |
Generators of the group modulo torsion |
j |
997951153588708/212693848461 |
j-invariant |
L |
3.9702410697963 |
L(r)(E,1)/r! |
Ω |
0.067837663441749 |
Real period |
R |
14.631404109427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1464f3 |
Quadratic twists by: 61 |