Atkin-Lehner |
2- 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57040d |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-4563200 = -1 · 28 · 52 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 0 -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,104] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] [11:40:1] |
Generators of the group modulo torsion |
j |
21296/17825 |
j-invariant |
L |
10.876845055783 |
L(r)(E,1)/r! |
Ω |
1.9103324356637 |
Real period |
R |
2.8468461438243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14260a1 |
Quadratic twists by: -4 |