Atkin-Lehner |
2- 3- 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642ce |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-3102720399507456 = -1 · 222 · 39 · 72 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8536,-2664853] |
[a1,a2,a3,a4,a6] |
Generators |
[525:11833:1] |
Generators of the group modulo torsion |
j |
94364164778183/4256132235264 |
j-invariant |
L |
8.2840171907153 |
L(r)(E,1)/r! |
Ω |
0.21545658658031 |
Real period |
R |
0.21845829912503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214n1 |
Quadratic twists by: -3 |