Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304bq |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1191407616 = 212 · 37 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19164,-1021120] |
[a1,a2,a3,a4,a6] |
Generators |
[11780:83135:64] |
Generators of the group modulo torsion |
j |
260672203072/399 |
j-invariant |
L |
6.7751044385895 |
L(r)(E,1)/r! |
Ω |
0.40576824259273 |
Real period |
R |
8.3484902555443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bi4 76608fc1 12768g3 |
Quadratic twists by: -4 8 -3 |