Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44436f |
Isogeny class |
Conductor |
44436 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
2131311775407696 = 24 · 35 · 7 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129781,17901262] |
[a1,a2,a3,a4,a6] |
j |
192937984/1701 |
j-invariant |
L |
1.3977674579793 |
L(r)(E,1)/r! |
Ω |
0.46592248590017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44436a1 |
Quadratic twists by: -23 |