Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
17640z |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-8961684480 = -1 · 210 · 36 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,4606] |
[a1,a2,a3,a4,a6] |
Generators |
[15:76:1] |
Generators of the group modulo torsion |
j |
-196/5 |
j-invariant |
L |
5.0804716449549 |
L(r)(E,1)/r! |
Ω |
1.0894490907792 |
Real period |
R |
2.3316700559736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280bx1 1960h1 88200fq1 17640q1 |
Quadratic twists by: -4 -3 5 -7 |