Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bc |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64247040000 = 211 · 33 · 54 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,-6282] |
[a1,a2,a3,a4,a6] |
Generators |
[94:850:1] |
Generators of the group modulo torsion |
j |
2540477574/1161875 |
j-invariant |
L |
5.3855125540605 |
L(r)(E,1)/r! |
Ω |
0.86915691757006 |
Real period |
R |
3.0981244267699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960d2 51480g2 |
Quadratic twists by: -4 -3 |