Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bz |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
136523540601252 = 22 · 310 · 76 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1025302,399514196] |
[a1,a2,a3,a4,a6] |
Generators |
[568:-973:1] |
Generators of the group modulo torsion |
j |
206226044828441/236196 |
j-invariant |
L |
5.183469683134 |
L(r)(E,1)/r! |
Ω |
0.49160017499902 |
Real period |
R |
0.52720380788447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734c3 84966t3 |
Quadratic twists by: -7 17 |