Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330bs |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
77977789881468750 = 2 · 316 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39678795,96212301471] |
[a1,a2,a3,a4,a6] |
j |
27629784261491295969847/311852531250 |
j-invariant |
L |
0.9653123332047 |
L(r)(E,1)/r! |
Ω |
0.241328082574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110dh2 57330cl2 |
Quadratic twists by: -3 -7 |