Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050v |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
804000000 = 28 · 3 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-238,-469] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:27:1] |
Generators of the group modulo torsion |
j |
95443993/51456 |
j-invariant |
L |
5.9975579107094 |
L(r)(E,1)/r! |
Ω |
1.2944579192867 |
Real period |
R |
0.57915728867555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400cs1 30150y1 402b1 |
Quadratic twists by: -4 -3 5 |