Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6171g |
Isogeny class |
Conductor |
6171 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2700 |
Modular degree for the optimal curve |
Δ |
-813146499 = -1 · 33 · 116 · 17 |
Discriminant |
Eigenvalues |
0 3- 3 4 11- 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,81,1370] |
[a1,a2,a3,a4,a6] |
j |
32768/459 |
j-invariant |
L |
3.5325261809339 |
L(r)(E,1)/r! |
Ω |
1.177508726978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736cs1 18513n1 51a1 104907j1 |
Quadratic twists by: -4 -3 -11 17 |