Atkin-Lehner |
2+ 3- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24282d |
Isogeny class |
Conductor |
24282 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-2690639856 = -1 · 24 · 38 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108,2560] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:47:1] [-90:425:8] |
Generators of the group modulo torsion |
j |
-192100033/3690864 |
j-invariant |
L |
5.1947998511872 |
L(r)(E,1)/r! |
Ω |
1.2103834921249 |
Real period |
R |
1.0729656933084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8094d1 |
Quadratic twists by: -3 |