Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840m |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1737469440000 = 212 · 36 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4065,-75663] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:140:1] |
Generators of the group modulo torsion |
j |
1814062505536/424186875 |
j-invariant |
L |
5.9090205344926 |
L(r)(E,1)/r! |
Ω |
0.60799014908441 |
Real period |
R |
0.60743382752523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840v2 127680fr1 |
Quadratic twists by: -4 8 |