Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664bz |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
511967232 = 218 · 32 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,639] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:36:1] |
Generators of the group modulo torsion |
j |
4826809/1953 |
j-invariant |
L |
4.8177145829335 |
L(r)(E,1)/r! |
Ω |
1.4981809842425 |
Real period |
R |
1.6078546696322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664cl1 651b1 124992cx1 |
Quadratic twists by: -4 8 -3 |