Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
44044i |
Isogeny class |
Conductor |
44044 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
368853172688 = 24 · 7 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2581,-40302] |
[a1,a2,a3,a4,a6] |
j |
67108864/13013 |
j-invariant |
L |
6.1094437405121 |
L(r)(E,1)/r! |
Ω |
0.67882708228916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4004c1 |
Quadratic twists by: -11 |