Atkin-Lehner |
3- 5- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
67545k |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
2806697385 = 39 · 5 · 192 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -6 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2057,-35296] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:22:1] [54:67:1] |
Generators of the group modulo torsion |
j |
1319778683209/3850065 |
j-invariant |
L |
5.7281019899633 |
L(r)(E,1)/r! |
Ω |
0.70906105720447 |
Real period |
R |
8.0784326424689 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22515c1 |
Quadratic twists by: -3 |