Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480bh |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-74756657557440 = -1 · 26 · 320 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12117,660764] |
[a1,a2,a3,a4,a6] |
Generators |
[41705:726264:125] |
Generators of the group modulo torsion |
j |
-4216979924416/1602294615 |
j-invariant |
L |
8.8315412381021 |
L(r)(E,1)/r! |
Ω |
0.57625740427279 |
Real period |
R |
7.6628440454697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480n1 32160c1 |
Quadratic twists by: -4 -3 |