Atkin-Lehner |
3- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46053j |
Isogeny class |
Conductor |
46053 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1443623391 = -1 · 38 · 7 · 17 · 432 |
Discriminant |
Eigenvalues |
1 3- -2 7- 2 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,72,1795] |
[a1,a2,a3,a4,a6] |
Generators |
[6:341:8] |
Generators of the group modulo torsion |
j |
56181887/1980279 |
j-invariant |
L |
5.6588093388762 |
L(r)(E,1)/r! |
Ω |
1.1438378334573 |
Real period |
R |
2.4736064734646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15351c1 |
Quadratic twists by: -3 |