Atkin-Lehner |
2- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96628c |
Isogeny class |
Conductor |
96628 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-1877374976176 = -1 · 24 · 77 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 2 -3 7- -3 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2483,44766] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:147:1] |
Generators of the group modulo torsion |
j |
899022848/997339 |
j-invariant |
L |
7.8570422902209 |
L(r)(E,1)/r! |
Ω |
0.55383769734759 |
Real period |
R |
1.1822119167463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999761351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804c1 |
Quadratic twists by: -7 |