Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178v |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-7268627641402944 = -1 · 26 · 35 · 178 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 2 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,35541,-3174951] |
[a1,a2,a3,a4,a6] |
Generators |
[4719:75946:27] |
Generators of the group modulo torsion |
j |
205692449327/301133376 |
j-invariant |
L |
12.045527488013 |
L(r)(E,1)/r! |
Ω |
0.22189810704318 |
Real period |
R |
4.5236706718761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834x1 |
Quadratic twists by: 17 |