Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560d |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
270233625600 = 210 · 34 · 52 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43320,3484800] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:2448:1] |
Generators of the group modulo torsion |
j |
8780093172522724/263900025 |
j-invariant |
L |
3.2655213120948 |
L(r)(E,1)/r! |
Ω |
0.91221965536911 |
Real period |
R |
3.5797532895445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
2280i3 18240ch4 13680m3 22800bc4 |
Quadratic twists by: -4 8 -3 5 |