Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304r |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
21892114944 = 29 · 38 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5630691,-5142693670] |
[a1,a2,a3,a4,a6] |
Generators |
[4106:202390:1] |
Generators of the group modulo torsion |
j |
52894596367017490184/58653 |
j-invariant |
L |
5.0619656966046 |
L(r)(E,1)/r! |
Ω |
0.098007459315851 |
Real period |
R |
8.6081299864647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304n4 76608fj4 12768n3 |
Quadratic twists by: -4 8 -3 |