Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850cz |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2497770000 = -1 · 24 · 33 · 54 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -2 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-688,-7408] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-466:1] |
Generators of the group modulo torsion |
j |
-57629979025/3996432 |
j-invariant |
L |
11.368788309499 |
L(r)(E,1)/r! |
Ω |
0.46423365335984 |
Real period |
R |
0.3401300971804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850h1 |
Quadratic twists by: 5 |