Atkin-Lehner |
2- 3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
81576l |
Isogeny class |
Conductor |
81576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-21778834176 = -1 · 28 · 36 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- -4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7572,-253708] |
[a1,a2,a3,a4,a6] |
Generators |
[65605:1480831:125] |
Generators of the group modulo torsion |
j |
-257269341184/116699 |
j-invariant |
L |
7.4270080516454 |
L(r)(E,1)/r! |
Ω |
0.25589104694453 |
Real period |
R |
7.256025698706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9064a1 |
Quadratic twists by: -3 |