Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840p |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2364941080454400 = 28 · 37 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74703,7502402] |
[a1,a2,a3,a4,a6] |
Generators |
[127:252:1] |
Generators of the group modulo torsion |
j |
247041745675216/12672223725 |
j-invariant |
L |
5.9438406532916 |
L(r)(E,1)/r! |
Ω |
0.45362089788971 |
Real period |
R |
3.2757753671263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680n2 14280bo2 |
Quadratic twists by: -4 -3 |