Atkin-Lehner |
2- 3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bz |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-889010531136 = -1 · 26 · 37 · 72 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1228,-42537] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-1707:1] |
Generators of the group modulo torsion |
j |
281140102151/1219493184 |
j-invariant |
L |
11.995456050813 |
L(r)(E,1)/r! |
Ω |
0.44826561537 |
Real period |
R |
0.37166258252361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214d1 |
Quadratic twists by: -3 |