Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040cf |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
546085152000 = 28 · 310 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,-70108] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:90:1] |
Generators of the group modulo torsion |
j |
85525504/10125 |
j-invariant |
L |
4.9176805613514 |
L(r)(E,1)/r! |
Ω |
0.62693994265912 |
Real period |
R |
1.9609855139583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999565768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680k1 104040db1 |
Quadratic twists by: -3 17 |