Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786d |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
223033172621545728 = 28 · 39 · 13 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165147,-12247003] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:2449:1] |
Generators of the group modulo torsion |
j |
170953875/76544 |
j-invariant |
L |
4.2861666423952 |
L(r)(E,1)/r! |
Ω |
0.24692952831218 |
Real period |
R |
4.3394634104316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786y1 5382a1 |
Quadratic twists by: -3 -23 |