Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736ed |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-282677133312 = -1 · 214 · 37 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -3 2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7248,-238880] |
[a1,a2,a3,a4,a6] |
Generators |
[92680:1071585:512] |
Generators of the group modulo torsion |
j |
-3525581824/23667 |
j-invariant |
L |
8.5078487267426 |
L(r)(E,1)/r! |
Ω |
0.2586073285653 |
Real period |
R |
8.224678671153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736cr1 23184f1 30912ce1 |
Quadratic twists by: -4 8 -3 |