Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502bm |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
145728 |
Modular degree for the optimal curve |
Δ |
-665860995072 = -1 · 211 · 36 · 7 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9833,-374871] |
[a1,a2,a3,a4,a6] |
Generators |
[119:300:1] |
Generators of the group modulo torsion |
j |
-144215816802121/913389568 |
j-invariant |
L |
12.166752365237 |
L(r)(E,1)/r! |
Ω |
0.23962775638344 |
Real period |
R |
2.307888730282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278b1 |
Quadratic twists by: -3 |