Atkin-Lehner |
2- 3- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
68724c |
Isogeny class |
Conductor |
68724 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
15265608240384 = 28 · 310 · 233 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 6 -6 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19632,-1041932] |
[a1,a2,a3,a4,a6] |
j |
4483837394944/81798741 |
j-invariant |
L |
1.6150998056773 |
L(r)(E,1)/r! |
Ω |
0.40377495345255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22908e1 |
Quadratic twists by: -3 |