Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bj |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
262230089990400 = 28 · 310 · 52 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16383,-210782] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:490:1] |
Generators of the group modulo torsion |
j |
2605772594896/1405125225 |
j-invariant |
L |
5.2973567704965 |
L(r)(E,1)/r! |
Ω |
0.44942850279898 |
Real period |
R |
1.4733591487597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680w2 14280x2 |
Quadratic twists by: -4 -3 |