Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984ct |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-86808020544 = -1 · 26 · 33 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41356,-3250954] |
[a1,a2,a3,a4,a6] |
Generators |
[245:1176:1] |
Generators of the group modulo torsion |
j |
-122227750618912576/1356375321 |
j-invariant |
L |
8.3712268640572 |
L(r)(E,1)/r! |
Ω |
0.16739163951529 |
Real period |
R |
2.3814203127773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984bo1 40992b1 |
Quadratic twists by: -4 8 |