Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84966eb |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1410048 |
Modular degree for the optimal curve |
Δ |
-965132483319221784 = -1 · 23 · 3 · 78 · 178 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1288946,565121052] |
[a1,a2,a3,a4,a6] |
Generators |
[19722:89266:27] |
Generators of the group modulo torsion |
j |
-288568081/1176 |
j-invariant |
L |
11.32402498683 |
L(r)(E,1)/r! |
Ω |
0.2798675456032 |
Real period |
R |
1.1239468618769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138r1 84966cq1 |
Quadratic twists by: -7 17 |