Atkin-Lehner |
5+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44275a |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
27671875 = 56 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ 11+ 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,-677] |
[a1,a2,a3,a4,a6] |
Generators |
[-845:1181:125] |
Generators of the group modulo torsion |
j |
24137569/1771 |
j-invariant |
L |
7.2285974971554 |
L(r)(E,1)/r! |
Ω |
1.3693291094949 |
Real period |
R |
5.2789336376644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1771d1 |
Quadratic twists by: 5 |