Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432bf |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-25931721984 = -1 · 28 · 3 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,-9428] |
[a1,a2,a3,a4,a6] |
Generators |
[181599:2074562:1331] |
Generators of the group modulo torsion |
j |
-810448/861 |
j-invariant |
L |
7.2745166904449 |
L(r)(E,1)/r! |
Ω |
0.46198621199687 |
Real period |
R |
7.8730885073288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108k1 13776bc1 |
Quadratic twists by: -4 -7 |