Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598be |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
45288737937234064 = 24 · 74 · 132 · 178 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4172781,-3279791419] |
[a1,a2,a3,a4,a6] |
Generators |
[-9442:5575:8] [3241:129650:1] |
Generators of the group modulo torsion |
j |
332894686333856193/1876275856 |
j-invariant |
L |
12.464557028053 |
L(r)(E,1)/r! |
Ω |
0.10563146708373 |
Real period |
R |
14.750051963892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3094e2 |
Quadratic twists by: 17 |