Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ct |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
346500000000 = 28 · 32 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3708,-83412] |
[a1,a2,a3,a4,a6] |
Generators |
[-771:44:27] |
Generators of the group modulo torsion |
j |
11279504/693 |
j-invariant |
L |
7.1113527722454 |
L(r)(E,1)/r! |
Ω |
0.61414651660422 |
Real period |
R |
5.7896223197483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200y1 92400bm1 |
Quadratic twists by: -4 5 |