Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17808be |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-3392637696 = -1 · 28 · 36 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-245,3087] |
[a1,a2,a3,a4,a6] |
Generators |
[7:42:1] |
Generators of the group modulo torsion |
j |
-6379012096/13252491 |
j-invariant |
L |
6.5860047751834 |
L(r)(E,1)/r! |
Ω |
1.2544630628385 |
Real period |
R |
0.14583496517983 |
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 |
4452c1 71232ci1 53424bl1 124656cr1 |
Quadratic twists by: -4 8 -3 -7 |