Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45472be |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2836888219648 = 212 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 7- 6 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3724,-32928] |
[a1,a2,a3,a4,a6] |
j |
11852352/5887 |
j-invariant |
L |
2.5730442181249 |
L(r)(E,1)/r! |
Ω |
0.64326105447695 |
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 |
45472q2 90944p1 6496k2 |
Quadratic twists by: -4 8 -7 |