Atkin-Lehner |
2- 3- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
65136u |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-2023461708300288 = -1 · 216 · 36 · 233 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29928,2932020] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:2208:1] |
Generators of the group modulo torsion |
j |
-723787970811625/494009206128 |
j-invariant |
L |
8.1048261525726 |
L(r)(E,1)/r! |
Ω |
0.4294652620283 |
Real period |
R |
0.52421948805962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8142a1 |
Quadratic twists by: -4 |