Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dp |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
1597050 = 2 · 33 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23042,1351991] |
[a1,a2,a3,a4,a6] |
Generators |
[702:-337:8] |
Generators of the group modulo torsion |
j |
296494123539627/350 |
j-invariant |
L |
11.975253561847 |
L(r)(E,1)/r! |
Ω |
1.6938406192299 |
Real period |
R |
1.7674705383421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470d2 106470h1 |
Quadratic twists by: -3 13 |