Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200y |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.1483058140324E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3369008,-833050512] |
[a1,a2,a3,a4,a6] |
Generators |
[3748:198000:1] |
Generators of the group modulo torsion |
j |
264307803243680164/134269113377025 |
j-invariant |
L |
8.9179048643312 |
L(r)(E,1)/r! |
Ω |
0.1176041929786 |
Real period |
R |
3.159575859929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22440t3 |
Quadratic twists by: 5 |