Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040c |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-147225600 = -1 · 210 · 34 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,720] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:32:1] [-2:30:1] |
Generators of the group modulo torsion |
j |
-96550276/143775 |
j-invariant |
L |
5.6132277562336 |
L(r)(E,1)/r! |
Ω |
1.6465655024022 |
Real period |
R |
0.85226305118811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8520g1 68160do1 51120j1 85200ba1 |
Quadratic twists by: -4 8 -3 5 |