Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558w |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
2.4986080237828E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55475841,-158861797580] |
[a1,a2,a3,a4,a6] |
Generators |
[768951876740:959907230251365:493039] |
Generators of the group modulo torsion |
j |
10658087323714628358625/14103990908485632 |
j-invariant |
L |
5.9501491660832 |
L(r)(E,1)/r! |
Ω |
0.055323302001528 |
Real period |
R |
17.925385724762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778w1 |
Quadratic twists by: -11 |