Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400bg |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-620928000 = -1 · 210 · 32 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72,1152] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-42:1] [-4:28:1] |
Generators of the group modulo torsion |
j |
318028/4851 |
j-invariant |
L |
9.4886184977953 |
L(r)(E,1)/r! |
Ω |
1.2066974598189 |
Real period |
R |
0.98291191598271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200dh1 92400db1 |
Quadratic twists by: -4 5 |