Atkin-Lehner |
3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
65325bc |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
183617522989875 = 310 · 53 · 135 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 -2 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55443,4977702] |
[a1,a2,a3,a4,a6] |
Generators |
[537:11139:1] |
Generators of the group modulo torsion |
j |
150783685390558277/1468940183919 |
j-invariant |
L |
4.4350141771803 |
L(r)(E,1)/r! |
Ω |
0.57135924053915 |
Real period |
R |
0.077622165928557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65325i1 |
Quadratic twists by: 5 |