Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cb |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.9460265304333E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-317300630,-2175593630605] |
[a1,a2,a3,a4,a6] |
Generators |
[370292700:-170987214265:1728] |
Generators of the group modulo torsion |
j |
731941550287276688155369/6103466141778720 |
j-invariant |
L |
8.9398975542879 |
L(r)(E,1)/r! |
Ω |
0.035771078830536 |
Real period |
R |
12.495985369497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290d3 |
Quadratic twists by: 13 |