Atkin-Lehner |
2- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
106742l |
Isogeny class |
Conductor |
106742 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2248896 |
Modular degree for the optimal curve |
Δ |
-9.5297172531246E+18 |
Discriminant |
Eigenvalues |
2- 0 -1 4 -5 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,381497,-117712857] |
[a1,a2,a3,a4,a6] |
Generators |
[1719124:280964567:64] |
Generators of the group modulo torsion |
j |
1860867/2888 |
j-invariant |
L |
10.253447556526 |
L(r)(E,1)/r! |
Ω |
0.12159151360749 |
Real period |
R |
7.0272499770404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106742d1 |
Quadratic twists by: 53 |