Atkin-Lehner |
3+ 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
46665a |
Isogeny class |
Conductor |
46665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-2379915 = -1 · 33 · 5 · 172 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 0 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,74] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] [1:-9:1] |
Generators of the group modulo torsion |
j |
-110592/88145 |
j-invariant |
L |
4.271002885493 |
L(r)(E,1)/r! |
Ω |
2.0876700555411 |
Real period |
R |
0.51145568646685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46665b1 |
Quadratic twists by: -3 |