Atkin-Lehner |
2- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38318y |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
308756021504 = 28 · 73 · 172 · 233 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2409,-37031] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:107:1] |
Generators of the group modulo torsion |
j |
4507661126359/900163328 |
j-invariant |
L |
5.641724947267 |
L(r)(E,1)/r! |
Ω |
0.69097685205228 |
Real period |
R |
0.34020223992249 |
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 |
38318q1 |
Quadratic twists by: -7 |