Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296dd |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-745242624 = -1 · 215 · 32 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2856,-59724] |
[a1,a2,a3,a4,a6] |
Generators |
[563:13308:1] |
Generators of the group modulo torsion |
j |
-1742943169/504 |
j-invariant |
L |
8.3421954286603 |
L(r)(E,1)/r! |
Ω |
0.32652001168704 |
Real period |
R |
6.3872007869418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999116079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162e1 121296cb1 |
Quadratic twists by: -4 -19 |