Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bl |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6128640 |
Modular degree for the optimal curve |
Δ |
-4070783547328167936 = -1 · 231 · 37 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 5 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-390238760,-2967048730512] |
[a1,a2,a3,a4,a6] |
j |
-668286694038078762077641/413929046016 |
j-invariant |
L |
1.8342592322903 |
L(r)(E,1)/r! |
Ω |
0.016983881779697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5586n1 44688dg1 |
Quadratic twists by: -4 -7 |