Atkin-Lehner |
2- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21142d |
Isogeny class |
Conductor |
21142 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-281529096766824808 = -1 · 23 · 113 · 319 |
Discriminant |
Eigenvalues |
2- 2 0 -1 11- 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,160467,-6221557] |
[a1,a2,a3,a4,a6] |
j |
514885403375/317214568 |
j-invariant |
L |
6.4221746803115 |
L(r)(E,1)/r! |
Ω |
0.17839374111976 |
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 |
682a2 |
Quadratic twists by: -31 |