Atkin-Lehner |
2- 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850w |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
78645600 |
Modular degree for the optimal curve |
Δ |
-2.3236630492518E+29 |
Discriminant |
Eigenvalues |
2- 0 5- 1 3 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,331847195,-23075417400803] |
[a1,a2,a3,a4,a6] |
Generators |
[1757119:2328414240:1] |
Generators of the group modulo torsion |
j |
10346134781909311915606335/594857740608449850376192 |
j-invariant |
L |
11.009906916098 |
L(r)(E,1)/r! |
Ω |
0.014985443192868 |
Real period |
R |
2.2263842224987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67850d1 |
Quadratic twists by: 5 |