Atkin-Lehner |
3- 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
59085d |
Isogeny class |
Conductor |
59085 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
302108990625 = 36 · 55 · 13 · 1012 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7920,-268029] |
[a1,a2,a3,a4,a6] |
Generators |
[19220970:16521367:185193] |
Generators of the group modulo torsion |
j |
75370704203521/414415625 |
j-invariant |
L |
6.6463004203229 |
L(r)(E,1)/r! |
Ω |
0.50624350548913 |
Real period |
R |
13.128663081032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6565d1 |
Quadratic twists by: -3 |