Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3570w |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-10710000 = -1 · 24 · 32 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11,-159] |
[a1,a2,a3,a4,a6] |
j |
-148035889/10710000 |
j-invariant |
L |
4.0184023731502 |
L(r)(E,1)/r! |
Ω |
1.0046005932875 |
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 |
28560cg1 114240cf1 10710o1 17850f1 |
Quadratic twists by: -4 8 -3 5 |