Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1748a |
Isogeny class |
Conductor |
1748 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-132848 = -1 · 24 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -1 -4 -2 -6 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90,361] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:19:1] [0:19:1] |
Generators of the group modulo torsion |
j |
-5095042816/8303 |
j-invariant |
L |
2.4210142972587 |
L(r)(E,1)/r! |
Ω |
3.2846749033435 |
Real period |
R |
0.12284393273303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6992v1 27968j1 15732h1 43700h1 |
Quadratic twists by: -4 8 -3 5 |