Atkin-Lehner |
3+ 5+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41055a |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46592 |
Modular degree for the optimal curve |
Δ |
-735208218675 = -1 · 37 · 52 · 7 · 174 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -5 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1609,-33478] |
[a1,a2,a3,a4,a6] |
Generators |
[76:722:1] |
Generators of the group modulo torsion |
j |
460385779613696/735208218675 |
j-invariant |
L |
1.8624116073521 |
L(r)(E,1)/r! |
Ω |
0.47526594198953 |
Real period |
R |
0.97966814093454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123165p1 |
Quadratic twists by: -3 |