Atkin-Lehner |
2- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15824k |
Isogeny class |
Conductor |
15824 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-126794028679168 = -1 · 217 · 233 · 433 |
Discriminant |
Eigenvalues |
2- 2 0 -2 0 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11312,277440] |
[a1,a2,a3,a4,a6] |
Generators |
[33:828:1] |
Generators of the group modulo torsion |
j |
39079010675375/30955573408 |
j-invariant |
L |
6.3974384954465 |
L(r)(E,1)/r! |
Ω |
0.3774439162966 |
Real period |
R |
2.8248958406929 |
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 |
1978e2 63296y2 |
Quadratic twists by: -4 8 |