Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798bi |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
3055104 |
Modular degree for the optimal curve |
Δ |
-1.60385953596E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 4 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7588301,8275121781] |
[a1,a2,a3,a4,a6] |
Generators |
[2831:95928:1] |
Generators of the group modulo torsion |
j |
-81261149221993/2697068544 |
j-invariant |
L |
8.2239618455688 |
L(r)(E,1)/r! |
Ω |
0.14936524113298 |
Real period |
R |
0.53979812375258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19266b1 57798u1 |
Quadratic twists by: -3 13 |