Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432cs |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-148528290594816 = -1 · 228 · 37 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10011,-701750] |
[a1,a2,a3,a4,a6] |
Generators |
[576072:19241915:512] |
Generators of the group modulo torsion |
j |
-37159393753/49741824 |
j-invariant |
L |
5.1121709644841 |
L(r)(E,1)/r! |
Ω |
0.22739356814 |
Real period |
R |
11.240799390896 |
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 |
4554z1 12144bd1 |
Quadratic twists by: -4 -3 |