Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840s |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5486836131302400 = 210 · 37 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252003,-48561298] |
[a1,a2,a3,a4,a6] |
Generators |
[-281:252:1] |
Generators of the group modulo torsion |
j |
2370900673008004/7350121275 |
j-invariant |
L |
5.8836305907487 |
L(r)(E,1)/r! |
Ω |
0.21312238536066 |
Real period |
R |
0.86271301651354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680q4 14280bp4 |
Quadratic twists by: -4 -3 |