Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47526h |
Isogeny class |
Conductor |
47526 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-398676983808 = -1 · 224 · 3 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 2 3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3369,-81447] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1091:1] |
Generators of the group modulo torsion |
j |
-533893690657/50331648 |
j-invariant |
L |
10.126289074294 |
L(r)(E,1)/r! |
Ω |
0.31165335180446 |
Real period |
R |
1.3538397998503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47526g1 |
Quadratic twists by: 89 |