Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968bt |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
5293446529024 = 225 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 -3 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41016897,101095911359] |
[a1,a2,a3,a4,a6] |
Generators |
[3685:1292:1] |
Generators of the group modulo torsion |
j |
29112011033527546515217/20192896 |
j-invariant |
L |
3.5278027156316 |
L(r)(E,1)/r! |
Ω |
0.33140694495152 |
Real period |
R |
1.7741544896048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968f2 6992j2 |
Quadratic twists by: -4 8 |