Atkin-Lehner |
3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50127m |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-130302279261 = -1 · 33 · 73 · 114 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,461,-16906] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-388:1] |
Generators of the group modulo torsion |
j |
31584462281/379890027 |
j-invariant |
L |
3.3568567032011 |
L(r)(E,1)/r! |
Ω |
0.51133071905121 |
Real period |
R |
1.0941570618694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50127f2 |
Quadratic twists by: -7 |