Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6936q |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12240 |
Modular degree for the optimal curve |
Δ |
-334836357168 = -1 · 24 · 3 · 178 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -2 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3275,-78426] |
[a1,a2,a3,a4,a6] |
j |
-34816/3 |
j-invariant |
L |
0.62799136175626 |
L(r)(E,1)/r! |
Ω |
0.31399568087813 |
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 |
13872h1 55488v1 20808s1 6936i1 |
Quadratic twists by: -4 8 -3 17 |