Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376t |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4824740499963904 = 214 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 4 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43771,-1120470] |
[a1,a2,a3,a4,a6] |
Generators |
[-135235:1238160:4913] |
Generators of the group modulo torsion |
j |
469097433/244036 |
j-invariant |
L |
6.4691731885944 |
L(r)(E,1)/r! |
Ω |
0.34945518532147 |
Real period |
R |
9.2560841278949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6422e2 3952d2 |
Quadratic twists by: -4 13 |