Atkin-Lehner |
2- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43700r |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
23117300000000 = 28 · 58 · 19 · 233 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7333,-72537] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:350:1] |
Generators of the group modulo torsion |
j |
436142080/231173 |
j-invariant |
L |
2.6031277559088 |
L(r)(E,1)/r! |
Ω |
0.54779007090978 |
Real period |
R |
1.5840178529115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43700j1 |
Quadratic twists by: 5 |