Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
88752w |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-136323072 = -1 · 213 · 32 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -3 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-272,-1728] |
[a1,a2,a3,a4,a6] |
Generators |
[26:90:1] |
Generators of the group modulo torsion |
j |
-294937/18 |
j-invariant |
L |
5.4370485515103 |
L(r)(E,1)/r! |
Ω |
0.58554753451418 |
Real period |
R |
2.3213523405717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094t1 88752bc1 |
Quadratic twists by: -4 -43 |