Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3570n |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-347004000000 = -1 · 28 · 36 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17998,928256] |
[a1,a2,a3,a4,a6] |
j |
-644706081631626841/347004000000 |
j-invariant |
L |
1.8939145600839 |
L(r)(E,1)/r! |
Ω |
0.94695728004194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
28560cp1 114240t1 10710bg1 17850bf1 |
Quadratic twists by: -4 8 -3 5 |