Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cq |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24084480 |
Modular degree for the optimal curve |
Δ |
3.2108921291525E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-216077769,-1219442836595] |
[a1,a2,a3,a4,a6] |
Generators |
[12822521103506032239:1313963528813097191237:568095579473661] |
Generators of the group modulo torsion |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
4.8197506476019 |
L(r)(E,1)/r! |
Ω |
0.039384211995563 |
Real period |
R |
30.594433677261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bx1 6930be1 |
Quadratic twists by: -3 -11 |