Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520ef |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
4194068336640 = 212 · 38 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4107,23546] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:126:1] |
Generators of the group modulo torsion |
j |
2565726409/1404585 |
j-invariant |
L |
7.0978934676491 |
L(r)(E,1)/r! |
Ω |
0.67808684899674 |
Real period |
R |
1.3084410718146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4095k1 21840bi1 |
Quadratic twists by: -4 -3 |