Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640ba |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-107850176000000 = -1 · 212 · 56 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6797,-450702] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1464:1] |
Generators of the group modulo torsion |
j |
24718462497/76765625 |
j-invariant |
L |
4.6395528448508 |
L(r)(E,1)/r! |
Ω |
0.3041710360726 |
Real period |
R |
3.8132763264446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4165d1 66640cj1 |
Quadratic twists by: -4 -7 |