Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3570h |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1951897500 = -1 · 22 · 38 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1347,-19719] |
[a1,a2,a3,a4,a6] |
j |
-270601485933241/1951897500 |
j-invariant |
L |
1.5752829481132 |
L(r)(E,1)/r! |
Ω |
0.3938207370283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560dr1 114240dt1 10710bc1 17850bq1 |
Quadratic twists by: -4 8 -3 5 |