Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150fs |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-6517943437500 = -1 · 22 · 38 · 57 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,122897] |
[a1,a2,a3,a4,a6] |
j |
-117649/572220 |
j-invariant |
L |
4.8185293887241 |
L(r)(E,1)/r! |
Ω |
0.60231617209395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050bd1 16830bg1 |
Quadratic twists by: -3 5 |