Atkin-Lehner |
2+ 3+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470q |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12706376686469100 = 22 · 36 · 52 · 193 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-132147,-17731791] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:603:1] |
Generators of the group modulo torsion |
j |
255211812508556800441/12706376686469100 |
j-invariant |
L |
4.1509477574501 |
L(r)(E,1)/r! |
Ω |
0.25117423455607 |
Real period |
R |
1.3771807197195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410ba2 |
Quadratic twists by: -3 |