Atkin-Lehner |
2- 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47124v |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-558629870675184 = -1 · 24 · 37 · 73 · 115 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2067,1136581] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:153:1] [-79:693:1] |
Generators of the group modulo torsion |
j |
83733188864/47893507431 |
j-invariant |
L |
9.1574641679459 |
L(r)(E,1)/r! |
Ω |
0.40373525177787 |
Real period |
R |
0.063005150911395 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15708h1 |
Quadratic twists by: -3 |