Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654h |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-4.7977961980717E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 6 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20962989,36962909221] |
[a1,a2,a3,a4,a6] |
Generators |
[7850:592811:1] |
Generators of the group modulo torsion |
j |
-2641801258666400088001/1244109469188096 |
j-invariant |
L |
5.2469674870582 |
L(r)(E,1)/r! |
Ω |
0.1635953414541 |
Real period |
R |
4.0091052107811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218s1 66654t1 |
Quadratic twists by: -3 -23 |