Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984cl |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.9575616023993E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1662405,-63226262] |
[a1,a2,a3,a4,a6] |
j |
3616805375/2105352 |
j-invariant |
L |
3.2699496293127 |
L(r)(E,1)/r! |
Ω |
0.10218592591122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6498v2 17328be2 2736n2 |
Quadratic twists by: -4 -3 -19 |