Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616i |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-13221937152 = -1 · 214 · 39 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 5 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20784,1153312] |
[a1,a2,a3,a4,a6] |
j |
-83131122688/1107 |
j-invariant |
L |
4.5903680399557 |
L(r)(E,1)/r! |
Ω |
1.1475920099889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23616bq1 2952g1 7872p1 |
Quadratic twists by: -4 8 -3 |