Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bx |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
158566947840 = 210 · 37 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2523,-44858] |
[a1,a2,a3,a4,a6] |
Generators |
[59:108:1] |
Generators of the group modulo torsion |
j |
2379293284/212415 |
j-invariant |
L |
6.3222566047782 |
L(r)(E,1)/r! |
Ω |
0.67747064307561 |
Real period |
R |
2.3330371099462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680s2 14280y2 |
Quadratic twists by: -4 -3 |