Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160u |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-11323299225600000 = -1 · 216 · 39 · 55 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2403,-5119902] |
[a1,a2,a3,a4,a6] |
Generators |
[19671:2758914:1] |
Generators of the group modulo torsion |
j |
-19034163/140450000 |
j-invariant |
L |
5.5414195824044 |
L(r)(E,1)/r! |
Ω |
0.18345987162715 |
Real period |
R |
7.5512692956438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770b1 38160z1 |
Quadratic twists by: -4 -3 |