Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400cb |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18447660000000000 = 211 · 32 · 510 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92408,-8644812] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:726:1] |
Generators of the group modulo torsion |
j |
2727138195938/576489375 |
j-invariant |
L |
8.2663967409492 |
L(r)(E,1)/r! |
Ω |
0.27791611759916 |
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 |
46200j4 18480i3 |
Quadratic twists by: -4 5 |