Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536x |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-1007662661632 = -1 · 221 · 113 · 192 |
Discriminant |
Eigenvalues |
2- -2 0 -2 11+ 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8328,-299276] |
[a1,a2,a3,a4,a6] |
Generators |
[468:9926:1] |
Generators of the group modulo torsion |
j |
-43204686625/681472 |
j-invariant |
L |
2.7774995839328 |
L(r)(E,1)/r! |
Ω |
0.24964511201451 |
Real period |
R |
5.5628959889684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942j1 63536n1 |
Quadratic twists by: -4 -19 |