Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5202i |
Isogeny class |
Conductor |
5202 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-80901504 = -1 · 27 · 37 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -3 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22,425] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:19:1] |
Generators of the group modulo torsion |
j |
5831/384 |
j-invariant |
L |
4.8917566621577 |
L(r)(E,1)/r! |
Ω |
1.4684391949912 |
Real period |
R |
0.11897366651134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616ce1 1734e1 5202n1 |
Quadratic twists by: -4 -3 17 |