Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218ba |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
106533486108036 = 22 · 38 · 136 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29691,1912977] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:2013:1] |
Generators of the group modulo torsion |
j |
822656953/30276 |
j-invariant |
L |
5.1027062169109 |
L(r)(E,1)/r! |
Ω |
0.59070884428502 |
Real period |
R |
2.1595690777633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001164 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29406u2 522k2 |
Quadratic twists by: -3 13 |