Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320bf |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-348376152960000 = -1 · 210 · 37 · 54 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,717,897982] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:792:1] [27:968:1] |
Generators of the group modulo torsion |
j |
54607676/466681875 |
j-invariant |
L |
8.8132934648145 |
L(r)(E,1)/r! |
Ω |
0.42488311356112 |
Real period |
R |
1.2964291212651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440k3 |
Quadratic twists by: -3 |