Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
88752bc |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1387008 |
Modular degree for the optimal curve |
Δ |
-861747630066966528 = -1 · 213 · 32 · 438 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -3 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-503544,144434772] |
[a1,a2,a3,a4,a6] |
Generators |
[414:2664:1] |
Generators of the group modulo torsion |
j |
-294937/18 |
j-invariant |
L |
8.7816868153583 |
L(r)(E,1)/r! |
Ω |
0.27706928683027 |
Real period |
R |
3.9618640629714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094c1 88752w1 |
Quadratic twists by: -4 -43 |