Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640bo |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-668756762304512000 = -1 · 216 · 53 · 710 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 2 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,152864,-31970560] |
[a1,a2,a3,a4,a6] |
j |
341425679/578000 |
j-invariant |
L |
0.6040259706959 |
L(r)(E,1)/r! |
Ω |
0.15100649401537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330r1 66640br1 |
Quadratic twists by: -4 -7 |