Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075be |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-229642483640625 = -1 · 310 · 56 · 114 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15295,-42078] |
[a1,a2,a3,a4,a6] |
Generators |
[23:555:1] |
Generators of the group modulo torsion |
j |
34741712447/20160657 |
j-invariant |
L |
3.5788810218077 |
L(r)(E,1)/r! |
Ω |
0.33106748085013 |
Real period |
R |
2.7025313786586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14025e4 1683e4 |
Quadratic twists by: -3 5 |