Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304r |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-883425802849003008 = -1 · 29 · 38 · 712 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336531,-87700426] |
[a1,a2,a3,a4,a6] |
Generators |
[1025:25382:1] |
Generators of the group modulo torsion |
j |
-11292795168713864/2366860111371 |
j-invariant |
L |
5.0619656966046 |
L(r)(E,1)/r! |
Ω |
0.098007459315851 |
Real period |
R |
2.1520324966162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304n2 76608fj3 12768n4 |
Quadratic twists by: -4 8 -3 |