Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52983g |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-616182831633789 = -1 · 36 · 72 · 297 |
Discriminant |
Eigenvalues |
-1 3- -1 7- -5 -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,1194338] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2845:1] |
Generators of the group modulo torsion |
j |
-1/1421 |
j-invariant |
L |
2.0973579130473 |
L(r)(E,1)/r! |
Ω |
0.4089749225303 |
Real period |
R |
1.2820822240532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5887a1 1827a1 |
Quadratic twists by: -3 29 |