Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304c |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34933248 = 29 · 33 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,1430] |
[a1,a2,a3,a4,a6] |
j |
114791256/2527 |
j-invariant |
L |
4.126737423487 |
L(r)(E,1)/r! |
Ω |
2.0633687117622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304e2 76608cz2 38304bc2 |
Quadratic twists by: -4 8 -3 |