Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bf |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11490840016846848 = -1 · 221 · 37 · 7 · 713 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13605,-5121142] |
[a1,a2,a3,a4,a6] |
Generators |
[541:12672:1] |
Generators of the group modulo torsion |
j |
93267830375/3848259072 |
j-invariant |
L |
6.7046934370285 |
L(r)(E,1)/r! |
Ω |
0.19344258726202 |
Real period |
R |
2.1662413934196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8946x2 23856o2 |
Quadratic twists by: -4 -3 |