Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450j |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-71843750 = -1 · 2 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 11- 7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-142,-734] |
[a1,a2,a3,a4,a6] |
Generators |
[29:123:1] |
Generators of the group modulo torsion |
j |
-20346417/4598 |
j-invariant |
L |
2.1082074982561 |
L(r)(E,1)/r! |
Ω |
0.68306647853422 |
Real period |
R |
0.77159674955067 |
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 |
83600bj1 94050cu1 418c1 114950cp1 |
Quadratic twists by: -4 -3 5 -11 |