Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gb |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-9240000000000 = -1 · 212 · 3 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,147188] |
[a1,a2,a3,a4,a6] |
Generators |
[82:768:1] |
Generators of the group modulo torsion |
j |
-4826809/144375 |
j-invariant |
L |
8.2796751533467 |
L(r)(E,1)/r! |
Ω |
0.60947832902548 |
Real period |
R |
3.3962139251573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775i1 18480bt1 |
Quadratic twists by: -4 5 |