Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600di |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-12546731520000 = -1 · 212 · 310 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -4 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33608,2366388] |
[a1,a2,a3,a4,a6] |
Generators |
[94:216:1] [-122:2160:1] |
Generators of the group modulo torsion |
j |
-1639927598425/4901067 |
j-invariant |
L |
12.024309675652 |
L(r)(E,1)/r! |
Ω |
0.71386701836348 |
Real period |
R |
0.14036589176426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6225b1 99600cb1 |
Quadratic twists by: -4 5 |