Atkin-Lehner |
2- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
42640n |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-710222500000000 = -1 · 28 · 510 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41807,-3531206] |
[a1,a2,a3,a4,a6] |
Generators |
[258:1690:1] |
Generators of the group modulo torsion |
j |
-31566814639895376/2774306640625 |
j-invariant |
L |
5.3215576344379 |
L(r)(E,1)/r! |
Ω |
0.1661058342241 |
Real period |
R |
3.2037150647346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10660a2 |
Quadratic twists by: -4 |