Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728dj |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3355254669312 = -1 · 214 · 38 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 13+ -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3381,45178] |
[a1,a2,a3,a4,a6] |
Generators |
[359:6894:1] |
Generators of the group modulo torsion |
j |
596183/468 |
j-invariant |
L |
8.5247569059713 |
L(r)(E,1)/r! |
Ω |
0.51030578567015 |
Real period |
R |
4.1762983788002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466bt1 30576ck1 91728fs1 |
Quadratic twists by: -4 -3 -7 |