Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178s |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-4141929725952 = -1 · 222 · 3 · 173 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -3 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15153,718287] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1104:1] |
Generators of the group modulo torsion |
j |
-78320348086625/843055104 |
j-invariant |
L |
6.9499750597635 |
L(r)(E,1)/r! |
Ω |
0.78346043299036 |
Real period |
R |
0.20161066384393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116178bo1 |
Quadratic twists by: 17 |