Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660ca |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-6845786766000 = -1 · 24 · 310 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,125881] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-405:1] [-28:315:1] |
Generators of the group modulo torsion |
j |
131072/1711125 |
j-invariant |
L |
12.373885781761 |
L(r)(E,1)/r! |
Ω |
0.59012381135992 |
Real period |
R |
0.58245243268517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38220ba1 114660y1 |
Quadratic twists by: -3 -7 |