Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466m |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-13000563288469372 = -1 · 22 · 73 · 112 · 238 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11- -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-85445,-11075556] |
[a1,a2,a3,a4,a6] |
Generators |
[361:2090:1] |
Generators of the group modulo torsion |
j |
-466025146777/87820348 |
j-invariant |
L |
3.2818061248115 |
L(r)(E,1)/r! |
Ω |
0.13820918933241 |
Real period |
R |
5.9363023253387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542c1 |
Quadratic twists by: -23 |