Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bf |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28212710400 = 210 · 33 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-843,-4842] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:60:1] |
Generators of the group modulo torsion |
j |
2396308428/1020425 |
j-invariant |
L |
3.9491233344953 |
L(r)(E,1)/r! |
Ω |
0.92060160055943 |
Real period |
R |
1.072430064235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680d2 42840d2 |
Quadratic twists by: -4 -3 |