Atkin-Lehner |
2- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728v |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-72178553925632 = -1 · 212 · 73 · 116 · 29 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11- 2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8267,286013] |
[a1,a2,a3,a4,a6] |
j |
15252992000000/17621717267 |
j-invariant |
L |
2.4595321400725 |
L(r)(E,1)/r! |
Ω |
0.4099220233461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2233b2 |
Quadratic twists by: -4 |