Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598g |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
37443797586 = 2 · 310 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3875,92036] |
[a1,a2,a3,a4,a6] |
Generators |
[12:211:1] |
Generators of the group modulo torsion |
j |
263744686997/1535274 |
j-invariant |
L |
6.5938220055411 |
L(r)(E,1)/r! |
Ω |
1.1608951028802 |
Real period |
R |
1.1359892877049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65598w2 |
Quadratic twists by: 29 |