Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6936f |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-236727913392 = -1 · 24 · 311 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -6 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-963,-26406] |
[a1,a2,a3,a4,a6] |
Generators |
[45:153:1] |
Generators of the group modulo torsion |
j |
-73984000/177147 |
j-invariant |
L |
4.6637353159304 |
L(r)(E,1)/r! |
Ω |
0.39979898110698 |
Real period |
R |
0.17674546369859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13872e1 55488r1 20808bi1 6936b1 |
Quadratic twists by: -4 8 -3 17 |