Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600bf |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
34496000000 = 212 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1233,13663] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:100:1] [-22:175:1] |
Generators of the group modulo torsion |
j |
3241792/539 |
j-invariant |
L |
6.8159144400795 |
L(r)(E,1)/r! |
Ω |
1.1102754123491 |
Real period |
R |
0.76736753379749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600r2 123200x1 2464f2 |
Quadratic twists by: -4 8 5 |