Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304bq |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1379203241472 = -1 · 29 · 310 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,-56338] |
[a1,a2,a3,a4,a6] |
Generators |
[41:182:1] |
Generators of the group modulo torsion |
j |
37259704/3695139 |
j-invariant |
L |
6.7751044385895 |
L(r)(E,1)/r! |
Ω |
0.40576824259273 |
Real period |
R |
2.0871225638861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bi2 76608fc3 12768g4 |
Quadratic twists by: -4 8 -3 |