Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640bb |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-17983375120793600 = -1 · 220 · 52 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144403,-22084398] |
[a1,a2,a3,a4,a6] |
Generators |
[223839:4360320:343] |
Generators of the group modulo torsion |
j |
-2014698447/108800 |
j-invariant |
L |
3.8537369125546 |
L(r)(E,1)/r! |
Ω |
0.122071444186 |
Real period |
R |
7.892380028899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330a1 66640ck1 |
Quadratic twists by: -4 -7 |