Atkin-Lehner |
2+ 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18126h |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
8932996956564 = 22 · 37 · 193 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8091,242433] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:306:1] [-68:723:1] |
Generators of the group modulo torsion |
j |
80358714342577/12253768116 |
j-invariant |
L |
4.555543896097 |
L(r)(E,1)/r! |
Ω |
0.70106782320682 |
Real period |
R |
1.6245018475026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6042n2 |
Quadratic twists by: -3 |