Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536ba |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-886034271592448 = -1 · 213 · 112 · 197 |
Discriminant |
Eigenvalues |
2- 3 -2 -1 11+ 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32851,-2702446] |
[a1,a2,a3,a4,a6] |
Generators |
[11370:205876:27] |
Generators of the group modulo torsion |
j |
-20346417/4598 |
j-invariant |
L |
10.189819988915 |
L(r)(E,1)/r! |
Ω |
0.17520285500279 |
Real period |
R |
7.2700156543369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942k1 3344g1 |
Quadratic twists by: -4 -19 |