Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600br |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2462400000000 = 212 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,62063] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:375:1] |
Generators of the group modulo torsion |
j |
113379904/38475 |
j-invariant |
L |
6.7908631578763 |
L(r)(E,1)/r! |
Ω |
0.74961548820455 |
Real period |
R |
1.1323910832825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600bd2 91200ga1 9120b2 |
Quadratic twists by: -4 8 5 |