Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304x |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.6785090254131E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-664851,-68437546] |
[a1,a2,a3,a4,a6] |
Generators |
[29955:638666:27] [-415:11662:1] |
Generators of the group modulo torsion |
j |
87076146581536904/44970342116049 |
j-invariant |
L |
8.1748552331035 |
L(r)(E,1)/r! |
Ω |
0.17683164545189 |
Real period |
R |
1.9262330968843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304j3 76608ex4 12768p3 |
Quadratic twists by: -4 8 -3 |