Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560s |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-6027083374068695040 = -1 · 216 · 3 · 5 · 1910 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52823440,147788289472] |
[a1,a2,a3,a4,a6] |
j |
-3979640234041473454886161/1471455901872240 |
j-invariant |
L |
1.9356950451374 |
L(r)(E,1)/r! |
Ω |
0.19356950451374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570l3 18240ci3 13680be3 22800dh3 |
Quadratic twists by: -4 8 -3 5 |