Atkin-Lehner |
2+ 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53088g |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
2866752 = 26 · 34 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190,944] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:12:1] [2:24:1] |
Generators of the group modulo torsion |
j |
11914842304/44793 |
j-invariant |
L |
8.76415640586 |
L(r)(E,1)/r! |
Ω |
2.5553321219968 |
Real period |
R |
1.7148761858423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53088f1 106176bh1 |
Quadratic twists by: -4 8 |