Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4692a |
Isogeny class |
Conductor |
4692 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-12867040512 = -1 · 28 · 35 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -3 -3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,5448] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:46:1] |
Generators of the group modulo torsion |
j |
9148592/50261877 |
j-invariant |
L |
3.30896665934 |
L(r)(E,1)/r! |
Ω |
0.99334849966491 |
Real period |
R |
0.37012484769737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18768u1 75072bl1 14076f1 117300bb1 |
Quadratic twists by: -4 8 -3 5 |