Atkin-Lehner |
2- 3- 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bn |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
9.8642680244007E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2527691,1471770587] |
[a1,a2,a3,a4,a6] |
Generators |
[1419:-27926:1] |
Generators of the group modulo torsion |
j |
2450010632258099031913/135312318578884608 |
j-invariant |
L |
10.333497620945 |
L(r)(E,1)/r! |
Ω |
0.18665650469253 |
Real period |
R |
0.86501619625215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294j1 |
Quadratic twists by: -3 |