Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304bi |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
16 |
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 |
[68:180:1] |
Generators of the group modulo torsion |
j |
260672203072/399 |
j-invariant |
L |
7.0764596931386 |
L(r)(E,1)/r! |
Ω |
1.3108173126533 |
Real period |
R |
1.3496273708072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bq4 76608el1 12768h2 |
Quadratic twists by: -4 8 -3 |