Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304u |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
445559046008832 = 212 · 316 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55740,4962368] |
[a1,a2,a3,a4,a6] |
j |
6414120712000/149216823 |
j-invariant |
L |
2.1098197206237 |
L(r)(E,1)/r! |
Ω |
0.52745493014989 |
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 |
38304h2 76608eu1 12768o2 |
Quadratic twists by: -4 8 -3 |