Atkin-Lehner |
2- 3+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
57936o |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
118652928 = 215 · 3 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 -1 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136,-272] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:10:1] |
Generators of the group modulo torsion |
j |
68417929/28968 |
j-invariant |
L |
7.0099878708087 |
L(r)(E,1)/r! |
Ω |
1.451172741631 |
Real period |
R |
2.4152837459456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242g1 |
Quadratic twists by: -4 |