Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60516h |
Isogeny class |
Conductor |
60516 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-109037464826303232 = -1 · 28 · 37 · 417 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -1 2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201720,-38320076] |
[a1,a2,a3,a4,a6] |
Generators |
[23165:3525057:1] |
Generators of the group modulo torsion |
j |
-1024000/123 |
j-invariant |
L |
7.2437553357107 |
L(r)(E,1)/r! |
Ω |
0.1118835770232 |
Real period |
R |
4.0464804623095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172f1 1476a1 |
Quadratic twists by: -3 41 |