Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984cs |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-83951616 = -1 · 216 · 3 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-3073] |
[a1,a2,a3,a4,a6] |
Generators |
[264401:1804944:4913] |
Generators of the group modulo torsion |
j |
-96550276/1281 |
j-invariant |
L |
9.8577473389799 |
L(r)(E,1)/r! |
Ω |
0.53835351912483 |
Real period |
R |
9.1554591807718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984g1 20496b1 |
Quadratic twists by: -4 8 |