Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088u |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-12690686368512 = -1 · 28 · 311 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -6 -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82524,9126308] |
[a1,a2,a3,a4,a6] |
Generators |
[184:414:1] [169:81:1] |
Generators of the group modulo torsion |
j |
-1190106112/243 |
j-invariant |
L |
9.220398451487 |
L(r)(E,1)/r! |
Ω |
0.69058008684257 |
Real period |
R |
0.55631964508057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176g1 12696f1 38088x1 |
Quadratic twists by: -4 -3 -23 |