Atkin-Lehner |
2- 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632n |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-61053696 = -1 · 28 · 33 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 11+ -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,764] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:6:1] [2:22:1] |
Generators of the group modulo torsion |
j |
-47775744/8833 |
j-invariant |
L |
7.791027646824 |
L(r)(E,1)/r! |
Ω |
1.8935859916752 |
Real period |
R |
0.51430379200492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28908d1 115632s1 |
Quadratic twists by: -4 -3 |