Atkin-Lehner |
2- 3- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632w |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
501760 |
Modular degree for the optimal curve |
Δ |
-57682555121664 = -1 · 212 · 313 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11+ -6 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4656,385328] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:693:1] |
Generators of the group modulo torsion |
j |
-3738308608/19317771 |
j-invariant |
L |
10.863794791573 |
L(r)(E,1)/r! |
Ω |
0.54275170249236 |
Real period |
R |
2.5020176668647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7227f1 38544m1 |
Quadratic twists by: -4 -3 |