Atkin-Lehner |
2+ 3+ 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
32538f |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19532289642624 = 27 · 36 · 114 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9631,291205] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:820:1] |
Generators of the group modulo torsion |
j |
98811687731698297/19532289642624 |
j-invariant |
L |
3.5767878424956 |
L(r)(E,1)/r! |
Ω |
0.64996874576118 |
Real period |
R |
1.3757537827095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97614bg2 |
Quadratic twists by: -3 |