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 |
Δ |
-130121728 = -1 · 215 · 11 · 192 |
Discriminant |
Eigenvalues |
2- -2 0 -2 11+ 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-677128,-214689804] |
[a1,a2,a3,a4,a6] |
Generators |
[3714462780:37852810926:3723875] |
Generators of the group modulo torsion |
j |
-23220390648606625/88 |
j-invariant |
L |
2.7774995839328 |
L(r)(E,1)/r! |
Ω |
0.083215037338169 |
Real period |
R |
16.688687966905 |
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 |
7942j2 63536n2 |
Quadratic twists by: -4 -19 |