Atkin-Lehner |
3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835p |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
26062751793015 = 35 · 5 · 78 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57893104081,-5361530221196710] |
[a1,a2,a3,a4,a6] |
Generators |
[-2649121761939129516529606204787862:1324560925009670411964055967706022:19069919912358596973200816133] |
Generators of the group modulo torsion |
j |
182396281399070033896409840129281/221529735 |
j-invariant |
L |
4.2797132948973 |
L(r)(E,1)/r! |
Ω |
0.009732913097323 |
Real period |
R |
43.971555608447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6405e4 |
Quadratic twists by: -7 |