Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840y |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
394148160000 = 29 · 33 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5880,-172872] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:42:1] |
Generators of the group modulo torsion |
j |
43919722445768/769820625 |
j-invariant |
L |
8.4367553766447 |
L(r)(E,1)/r! |
Ω |
0.54577163223806 |
Real period |
R |
0.64409993716623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840i3 127680dt3 |
Quadratic twists by: -4 8 |