Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840gl |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-51358924800000 = -1 · 219 · 36 · 55 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9108,-83376] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-800:1] |
Generators of the group modulo torsion |
j |
437245479/268750 |
j-invariant |
L |
9.8773711920303 |
L(r)(E,1)/r! |
Ω |
0.36577985342441 |
Real period |
R |
0.67508988236173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840cs1 30960bg1 13760o1 |
Quadratic twists by: -4 8 -3 |