Atkin-Lehner |
2+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
96064c |
Isogeny class |
Conductor |
96064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
60893177430016 = 214 · 196 · 79 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 0 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13169,-439919] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:244:1] [915:27436:1] |
Generators of the group modulo torsion |
j |
15416832146128/3716624599 |
j-invariant |
L |
10.775133386496 |
L(r)(E,1)/r! |
Ω |
0.45347702869996 |
Real period |
R |
5.9402862248028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96064z1 6004c1 |
Quadratic twists by: -4 8 |