Atkin-Lehner |
3- 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467t |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-27619795311177771 = -1 · 39 · 135 · 194 · 29 |
Discriminant |
Eigenvalues |
0 3- -3 -2 -4 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,75066,1126750] |
[a1,a2,a3,a4,a6] |
Generators |
[550:-14450:1] |
Generators of the group modulo torsion |
j |
64169108728414208/37887236366499 |
j-invariant |
L |
1.6800482333292 |
L(r)(E,1)/r! |
Ω |
0.22788914618867 |
Real period |
R |
0.18430542459593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21489c1 |
Quadratic twists by: -3 |