Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312a |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1605658492928 = -1 · 214 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 5 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2287,-43345] |
[a1,a2,a3,a4,a6] |
Generators |
[173603:1215304:6859] |
Generators of the group modulo torsion |
j |
14000/17 |
j-invariant |
L |
8.4511545474285 |
L(r)(E,1)/r! |
Ω |
0.45276137315144 |
Real period |
R |
9.3329014449687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312bi1 3332b1 53312u1 |
Quadratic twists by: -4 8 -7 |