Atkin-Lehner |
2- 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632v |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
18014385733632 = 220 · 35 · 19 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6744,-63468] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:126:1] [-42:384:1] |
Generators of the group modulo torsion |
j |
8282869989337/4398043392 |
j-invariant |
L |
10.432215604662 |
L(r)(E,1)/r! |
Ω |
0.55954157594522 |
Real period |
R |
1.8644218862627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6954d1 |
Quadratic twists by: -4 |