Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560g |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
519840000 = 28 · 32 · 54 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1900,-32500] |
[a1,a2,a3,a4,a6] |
Generators |
[55:180:1] |
Generators of the group modulo torsion |
j |
2964647793616/2030625 |
j-invariant |
L |
4.6007147968649 |
L(r)(E,1)/r! |
Ω |
0.72311931828675 |
Real period |
R |
3.1811588215933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2280b2 18240bu2 13680g2 22800a2 |
Quadratic twists by: -4 8 -3 5 |