Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600cn |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-2852066700000000 = -1 · 28 · 311 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2833,-2571037] |
[a1,a2,a3,a4,a6] |
Generators |
[533:12150:1] |
Generators of the group modulo torsion |
j |
-25154560/28520667 |
j-invariant |
L |
8.1069419877242 |
L(r)(E,1)/r! |
Ω |
0.20430582734142 |
Real period |
R |
0.6012185558993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96600q1 |
Quadratic twists by: 5 |