Atkin-Lehner |
3- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
5253a |
Isogeny class |
Conductor |
5253 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.1023209291414E+19 |
Discriminant |
Eigenvalues |
-1 3- 2 4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-728127,177908400] |
[a1,a2,a3,a4,a6] |
j |
42691867833214034562673/11023209291414490641 |
j-invariant |
L |
2.553368235781 |
L(r)(E,1)/r! |
Ω |
0.21278068631508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84048p2 15759a2 89301b2 |
Quadratic twists by: -4 -3 17 |