Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fi |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-5177696256000 = -1 · 216 · 37 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2868,-92144] |
[a1,a2,a3,a4,a6] |
Generators |
[32:180:1] [42:320:1] |
Generators of the group modulo torsion |
j |
54607676/108375 |
j-invariant |
L |
9.3600694827562 |
L(r)(E,1)/r! |
Ω |
0.39941520494794 |
Real period |
R |
0.97643477334731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960cq1 12240j1 16320co1 |
Quadratic twists by: -4 8 -3 |