Atkin-Lehner |
2+ 3- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546l |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-697635630846 = -1 · 2 · 39 · 74 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11+ 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1701,48843] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:-261:1] [-378:1377:8] |
Generators of the group modulo torsion |
j |
-746883272017/956976174 |
j-invariant |
L |
6.6769282206542 |
L(r)(E,1)/r! |
Ω |
0.81732630844584 |
Real period |
R |
0.51057699900784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28182t1 |
Quadratic twists by: -3 |