Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654bx |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-14200171092368856 = -1 · 23 · 311 · 77 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33737,-6201183] |
[a1,a2,a3,a4,a6] |
Generators |
[581:-13332:1] |
Generators of the group modulo torsion |
j |
-478762350767/1600967592 |
j-invariant |
L |
10.900690723768 |
L(r)(E,1)/r! |
Ω |
0.16204180107971 |
Real period |
R |
0.40042176398745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218g1 66654bm1 |
Quadratic twists by: -3 -23 |