Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688ce |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
110407468752 = 24 · 32 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,-24912] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:531:8] |
Generators of the group modulo torsion |
j |
1048576/171 |
j-invariant |
L |
3.2135014307996 |
L(r)(E,1)/r! |
Ω |
0.73807124359706 |
Real period |
R |
4.3539176721493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172w1 44688dm1 |
Quadratic twists by: -4 -7 |