Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160w |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-1335294720 = -1 · 28 · 39 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -4 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648,6588] |
[a1,a2,a3,a4,a6] |
Generators |
[6:54:1] |
Generators of the group modulo torsion |
j |
-5971968/265 |
j-invariant |
L |
4.0729363883441 |
L(r)(E,1)/r! |
Ω |
1.5103648924237 |
Real period |
R |
0.67416430439651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9540a1 38160bc1 |
Quadratic twists by: -4 -3 |