Atkin-Lehner |
2- 3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bm |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
91401704290512 = 24 · 312 · 74 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31145,2072729] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1714:1] |
Generators of the group modulo torsion |
j |
4582981631607625/125379566928 |
j-invariant |
L |
9.7811356698911 |
L(r)(E,1)/r! |
Ω |
0.60075953473284 |
Real period |
R |
0.50879007658199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094q2 |
Quadratic twists by: -3 |