Atkin-Lehner |
3+ 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467g |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-116777090541501 = -1 · 39 · 135 · 19 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 1 -1 2 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-839027,-295599968] |
[a1,a2,a3,a4,a6] |
Generators |
[1060:1751:1] |
Generators of the group modulo torsion |
j |
-3318636951171313227/5932890847 |
j-invariant |
L |
4.1719555263193 |
L(r)(E,1)/r! |
Ω |
0.078872493086875 |
Real period |
R |
2.6447468332592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467e1 |
Quadratic twists by: -3 |