Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2574g |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-15011568 = -1 · 24 · 38 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 11+ 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,189] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:15:1] [-2:15:1] |
Generators of the group modulo torsion |
j |
-117649/20592 |
j-invariant |
L |
2.4076439729843 |
L(r)(E,1)/r! |
Ω |
1.8107150089299 |
Real period |
R |
0.66483238972175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592bp1 82368co1 858m1 64350dz1 |
Quadratic twists by: -4 8 -3 5 |