Atkin-Lehner |
2+ 3- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17082g |
Isogeny class |
Conductor |
17082 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-7482735936 = -1 · 26 · 36 · 133 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 0 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171,4293] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-1467:1] [-2:69:1] |
Generators of the group modulo torsion |
j |
-761048497/10264384 |
j-invariant |
L |
4.2530519532569 |
L(r)(E,1)/r! |
Ω |
1.1191235189202 |
Real period |
R |
0.31669515483577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1898b1 |
Quadratic twists by: -3 |