Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400cb |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
13860000000 = 28 · 32 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28908,1882188] |
[a1,a2,a3,a4,a6] |
Generators |
[102:72:1] |
Generators of the group modulo torsion |
j |
667932971344/3465 |
j-invariant |
L |
8.2663967409492 |
L(r)(E,1)/r! |
Ω |
1.1116644703966 |
Real period |
R |
1.859013434338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200j1 18480i1 |
Quadratic twists by: -4 5 |