Atkin-Lehner |
3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
5229c |
Isogeny class |
Conductor |
5229 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
21355764129 = 37 · 76 · 83 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -6 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1076,11886] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:153:1] [-16:165:1] |
Generators of the group modulo torsion |
j |
188822850553/29294601 |
j-invariant |
L |
3.0403407325851 |
L(r)(E,1)/r! |
Ω |
1.158610666669 |
Real period |
R |
0.43735438487518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83664bm1 1743a1 36603p1 |
Quadratic twists by: -4 -3 -7 |