Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
46784x |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-748544 = -1 · 210 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 1 3 0 4 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,43] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] |
Generators of the group modulo torsion |
j |
131072/731 |
j-invariant |
L |
9.1902166299297 |
L(r)(E,1)/r! |
Ω |
2.0535306775844 |
Real period |
R |
2.2376623661467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46784c1 11696i1 |
Quadratic twists by: -4 8 |