Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688da |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
110407468752 = 24 · 32 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19665,-1067886] |
[a1,a2,a3,a4,a6] |
j |
1302642688/171 |
j-invariant |
L |
1.6126407834758 |
L(r)(E,1)/r! |
Ω |
0.40316019587976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172k1 44688cn1 |
Quadratic twists by: -4 -7 |