Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
66780a |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13362056144640 = 28 · 33 · 5 · 72 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19743,-1053162] |
[a1,a2,a3,a4,a6] |
Generators |
[-5532:5565:64] |
Generators of the group modulo torsion |
j |
123128735446512/1933167845 |
j-invariant |
L |
5.4396738445773 |
L(r)(E,1)/r! |
Ω |
0.40314336021601 |
Real period |
R |
3.3732875083008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66780c2 |
Quadratic twists by: -3 |