Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432cx |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-46841402961690624 = -1 · 220 · 33 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33336,-10684332] |
[a1,a2,a3,a4,a6] |
Generators |
[1164:39102:1] |
Generators of the group modulo torsion |
j |
-8502154921/97203456 |
j-invariant |
L |
8.6102569564534 |
L(r)(E,1)/r! |
Ω |
0.1525635304025 |
Real period |
R |
2.3515495828955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054g1 13776e1 |
Quadratic twists by: -4 -7 |