Atkin-Lehner |
2- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
106600j |
Isogeny class |
Conductor |
106600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74304 |
Modular degree for the optimal curve |
Δ |
576492800 = 28 · 52 · 133 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 -1 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5473,-157677] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:2:1] |
Generators of the group modulo torsion |
j |
2833344824320/90077 |
j-invariant |
L |
4.0965862209943 |
L(r)(E,1)/r! |
Ω |
0.5550567757614 |
Real period |
R |
1.230080240335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999712575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106600e1 |
Quadratic twists by: 5 |