Atkin-Lehner |
3- 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467m |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
705933481840028793 = 37 · 134 · 19 · 296 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-232079,14813646] |
[a1,a2,a3,a4,a6] |
j |
1896277809368356777/968358685651617 |
j-invariant |
L |
1.5137959178407 |
L(r)(E,1)/r! |
Ω |
0.25229931892204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21489b1 |
Quadratic twists by: -3 |