Atkin-Lehner |
2- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314q |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
654336 |
Modular degree for the optimal curve |
Δ |
-258259211222675264 = -1 · 26 · 78 · 176 · 29 |
Discriminant |
Eigenvalues |
2- -1 3 7- -3 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64779,25233529] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-4922:1] |
Generators of the group modulo torsion |
j |
-255528066904993/2195167075136 |
j-invariant |
L |
8.3168239645362 |
L(r)(E,1)/r! |
Ω |
0.26604040332801 |
Real period |
R |
1.3025627969328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6902e1 |
Quadratic twists by: -7 |