Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800bf |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
11172000000 = 28 · 3 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,5412] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:50:1] |
Generators of the group modulo torsion |
j |
9826000/2793 |
j-invariant |
L |
6.1503649370979 |
L(r)(E,1)/r! |
Ω |
1.1887375701342 |
Real period |
R |
1.2934656671972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3192f1 |
Quadratic twists by: 5 |