Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bw |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
594626054400 = 28 · 38 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21423,1206322] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:770:1] [101:-270:1] |
Generators of the group modulo torsion |
j |
5826356867536/3186225 |
j-invariant |
L |
8.6096105608579 |
L(r)(E,1)/r! |
Ω |
0.9056048278053 |
Real period |
R |
1.1883785146279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680p2 14280bc2 |
Quadratic twists by: -4 -3 |