Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560g |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
615600000000 = 210 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2280,-18972] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:30:1] |
Generators of the group modulo torsion |
j |
1280615525284/601171875 |
j-invariant |
L |
4.6007147968649 |
L(r)(E,1)/r! |
Ω |
0.72311931828675 |
Real period |
R |
1.5905794107966 |
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 |
2280b3 18240bu4 13680g3 22800a3 |
Quadratic twists by: -4 8 -3 5 |