Atkin-Lehner |
2+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106930b |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-159269240960 = -1 · 27 · 5 · 173 · 373 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-190,-19180] |
[a1,a2,a3,a4,a6] |
Generators |
[26160639:109741867:658503] |
Generators of the group modulo torsion |
j |
-154854153/32417920 |
j-invariant |
L |
10.577293017444 |
L(r)(E,1)/r! |
Ω |
0.45656049489391 |
Real period |
R |
11.58367091673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999665158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106930o1 |
Quadratic twists by: 17 |