Atkin-Lehner |
2- 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470bn |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5896155240 = 23 · 34 · 5 · 192 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-77000,-8230440] |
[a1,a2,a3,a4,a6] |
Generators |
[346:2392:1] |
Generators of the group modulo torsion |
j |
50488938517259088001/5896155240 |
j-invariant |
L |
10.985450168292 |
L(r)(E,1)/r! |
Ω |
0.28660043620198 |
Real period |
R |
3.1941827891905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410f2 |
Quadratic twists by: -3 |