Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360ca |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5711006269440 = 223 · 34 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55105,-4959263] |
[a1,a2,a3,a4,a6] |
j |
70593496254289/21785760 |
j-invariant |
L |
2.4928673895475 |
L(r)(E,1)/r! |
Ω |
0.31160842369661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360bj2 9840x2 118080dy2 |
Quadratic twists by: -4 8 -3 |