Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6171h |
Isogeny class |
Conductor |
6171 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-26833834467 = -1 · 34 · 117 · 17 |
Discriminant |
Eigenvalues |
2 3- 0 3 11- 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1008,-14965] |
[a1,a2,a3,a4,a6] |
j |
-64000000/15147 |
j-invariant |
L |
6.6939174783222 |
L(r)(E,1)/r! |
Ω |
0.41836984239514 |
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 |
98736ci1 18513o1 561c1 104907o1 |
Quadratic twists by: -4 -3 -11 17 |