Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18768k |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
2702592 = 28 · 33 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 -4 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,369] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] |
Generators of the group modulo torsion |
j |
351232000/10557 |
j-invariant |
L |
4.6987775132607 |
L(r)(E,1)/r! |
Ω |
2.5445342400575 |
Real period |
R |
0.92330797504901 |
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 |
4692c1 75072ct1 56304bl1 |
Quadratic twists by: -4 8 -3 |