Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bt |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-2389981499821440000 = -1 · 210 · 322 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3936243,-3006795458] |
[a1,a2,a3,a4,a6] |
j |
-9035286561666509764/3201599874375 |
j-invariant |
L |
1.9292670770801 |
L(r)(E,1)/r! |
Ω |
0.053590752141978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680k1 14280z1 |
Quadratic twists by: -4 -3 |