Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ih |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-17316203520000 = -1 · 213 · 3 · 54 · 7 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36008,2625588] |
[a1,a2,a3,a4,a6] |
Generators |
[108:90:1] |
Generators of the group modulo torsion |
j |
-2016939204025/6764142 |
j-invariant |
L |
9.4589711111986 |
L(r)(E,1)/r! |
Ω |
0.69530614856563 |
Real period |
R |
2.2673396287313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550o1 92400do2 |
Quadratic twists by: -4 5 |