Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
8784k |
Isogeny class |
Conductor |
8784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
421632 = 28 · 33 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-975,-11718] |
[a1,a2,a3,a4,a6] |
Generators |
[309610:5418959:1000] |
Generators of the group modulo torsion |
j |
14829750000/61 |
j-invariant |
L |
4.4415018326542 |
L(r)(E,1)/r! |
Ω |
0.85437495283732 |
Real period |
R |
10.397078748398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2196b2 35136be2 8784l2 |
Quadratic twists by: -4 8 -3 |