Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726y |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
33985373472 = 25 · 36 · 172 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1310,16269] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:143:1] |
Generators of the group modulo torsion |
j |
340799721625/46619168 |
j-invariant |
L |
7.8577587932532 |
L(r)(E,1)/r! |
Ω |
1.1196745049263 |
Real period |
R |
0.70178956104486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2414b2 |
Quadratic twists by: -3 |