Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bw |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-818318712960000 = -1 · 210 · 37 · 54 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17643,1645558] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-900:1] [158:1674:1] |
Generators of the group modulo torsion |
j |
-813604851364/1096213125 |
j-invariant |
L |
8.6096105608579 |
L(r)(E,1)/r! |
Ω |
0.45280241390265 |
Real period |
R |
4.7535140585115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680p3 14280bc4 |
Quadratic twists by: -4 -3 |