Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bi |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-4692691898022002688 = -1 · 215 · 310 · 116 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-372833,-136288065] |
[a1,a2,a3,a4,a6] |
Generators |
[811:9768:1] |
Generators of the group modulo torsion |
j |
-174911344578125000/143209591614441 |
j-invariant |
L |
8.2945603888026 |
L(r)(E,1)/r! |
Ω |
0.093351072509595 |
Real period |
R |
0.7404450180548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144b2 39072a2 |
Quadratic twists by: -4 8 |