Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51156p |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10469713280124672 = 28 · 310 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54831,431494] |
[a1,a2,a3,a4,a6] |
j |
830321872/476847 |
j-invariant |
L |
1.3873650520564 |
L(r)(E,1)/r! |
Ω |
0.3468412628585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17052p2 7308b2 |
Quadratic twists by: -3 -7 |