Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19680r |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1549209600 = -1 · 212 · 32 · 52 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-2223] |
[a1,a2,a3,a4,a6] |
Generators |
[24:75:1] |
Generators of the group modulo torsion |
j |
-308915776/378225 |
j-invariant |
L |
5.0868808973362 |
L(r)(E,1)/r! |
Ω |
0.58871803124162 |
Real period |
R |
2.1601516461997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19680k2 39360x1 59040l2 98400q2 |
Quadratic twists by: -4 8 -3 5 |