Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664bw |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
126999871488 = 214 · 36 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14033,634959] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-252:1] |
Generators of the group modulo torsion |
j |
18654615250000/7751457 |
j-invariant |
L |
7.7580031577505 |
L(r)(E,1)/r! |
Ω |
1.0258007784969 |
Real period |
R |
0.42015972737139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664ch1 5208k1 124992cl1 |
Quadratic twists by: -4 8 -3 |