Atkin-Lehner |
2+ 3+ 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642k |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
68677632 |
Modular degree for the optimal curve |
Δ |
-2151185976576 = -1 · 28 · 33 · 74 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20256102921,1109644686890253] |
[a1,a2,a3,a4,a6] |
Generators |
[119442:19795023:1] |
Generators of the group modulo torsion |
j |
-34042984961059681977989225569081419/79673554688 |
j-invariant |
L |
3.2888100349621 |
L(r)(E,1)/r! |
Ω |
0.10959058241083 |
Real period |
R |
5.6268692692931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000192 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96642bn2 |
Quadratic twists by: -3 |