Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
64158be |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-2181372 = -1 · 22 · 3 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[712:1303:512] |
Generators of the group modulo torsion |
j |
493039/444 |
j-invariant |
L |
8.5220602103967 |
L(r)(E,1)/r! |
Ω |
1.428262659829 |
Real period |
R |
5.9667317852677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64158bk1 |
Quadratic twists by: 17 |