Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730bg |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
152171460 = 22 · 37 · 5 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,-439] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:155:8] |
Generators of the group modulo torsion |
j |
594823321/208740 |
j-invariant |
L |
8.8183743301145 |
L(r)(E,1)/r! |
Ω |
1.3861072590109 |
Real period |
R |
1.5904927762214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910w1 |
Quadratic twists by: -3 |