Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18744b |
Isogeny class |
Conductor |
18744 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1428528524544 = 28 · 310 · 113 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2817,1539] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:198:1] |
Generators of the group modulo torsion |
j |
9660474262528/5580189549 |
j-invariant |
L |
5.2814707497128 |
L(r)(E,1)/r! |
Ω |
0.72398466059462 |
Real period |
R |
0.060791697176924 |
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 |
37488f1 56232l1 |
Quadratic twists by: -4 -3 |