Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9540c |
Isogeny class |
Conductor |
9540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-300441312000 = -1 · 28 · 311 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,26372] |
[a1,a2,a3,a4,a6] |
Generators |
[4:162:1] |
Generators of the group modulo torsion |
j |
-65536/1609875 |
j-invariant |
L |
4.2901372655414 |
L(r)(E,1)/r! |
Ω |
0.77530814585338 |
Real period |
R |
0.46112173683098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38160bi1 3180a1 47700h1 |
Quadratic twists by: -4 -3 5 |