Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456bl |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
-1187268277764096 = -1 · 216 · 36 · 112 · 593 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11+ -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36939,3196154] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:1888:1] [167:1298:1] |
Generators of the group modulo torsion |
j |
-1866773548297/397613744 |
j-invariant |
L |
7.1721815851549 |
L(r)(E,1)/r! |
Ω |
0.46575466908476 |
Real period |
R |
0.64162727543634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11682s1 10384e1 |
Quadratic twists by: -4 -3 |