Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126cx |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
-1.0677529307535E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52105482,-153053915148] |
[a1,a2,a3,a4,a6] |
Generators |
[141505553102599719:-28548822083481779778:3382430446331] |
Generators of the group modulo torsion |
j |
-182414014585448388625/12449588698939392 |
j-invariant |
L |
5.7412874650939 |
L(r)(E,1)/r! |
Ω |
0.027986106834353 |
Real period |
R |
25.643471408406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042df1 18018o1 |
Quadratic twists by: -3 -7 |