Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cc |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1573289984000000000 = -1 · 224 · 59 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16592,-60336812] |
[a1,a2,a3,a4,a6] |
Generators |
[275652:275750:729] |
Generators of the group modulo torsion |
j |
7892485271/24582656000 |
j-invariant |
L |
7.3286683152884 |
L(r)(E,1)/r! |
Ω |
0.12398331979865 |
Real period |
R |
7.3887643990739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650t2 10640j2 |
Quadratic twists by: -4 5 |