Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720bj |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
15967250000000000 = 210 · 512 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64325,-1593125] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:1225:1] |
Generators of the group modulo torsion |
j |
28745501621960704/15593017578125 |
j-invariant |
L |
5.5196414038386 |
L(r)(E,1)/r! |
Ω |
0.31964496732049 |
Real period |
R |
2.8780063131528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720m3 17680i3 |
Quadratic twists by: -4 8 |