Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502y |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
2280096 = 25 · 33 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,-185] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] |
Generators of the group modulo torsion |
j |
1270238787/84448 |
j-invariant |
L |
9.333085387518 |
L(r)(E,1)/r! |
Ω |
1.67140883832 |
Real period |
R |
0.55839631654048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47502a1 |
Quadratic twists by: -3 |