Atkin-Lehner |
3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66309j |
Isogeny class |
Conductor |
66309 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1874880 |
Modular degree for the optimal curve |
Δ |
-8880563319384186387 = -1 · 39 · 232 · 318 |
Discriminant |
Eigenvalues |
0 3- 2 0 0 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20178437,34881836414] |
[a1,a2,a3,a4,a6] |
Generators |
[2242:30271:1] |
Generators of the group modulo torsion |
j |
-1065351085293568/10412307 |
j-invariant |
L |
7.3718079651083 |
L(r)(E,1)/r! |
Ω |
0.20909468121916 |
Real period |
R |
0.6528858673428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66309a1 |
Quadratic twists by: -31 |