Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360cy |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-7318342213632000 = -1 · 216 · 312 · 53 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29185,4531583] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:2160:1] [-79:2520:1] |
Generators of the group modulo torsion |
j |
-41950559273476/111669040125 |
j-invariant |
L |
9.7844643024202 |
L(r)(E,1)/r! |
Ω |
0.36928842558324 |
Real period |
R |
0.3679924095075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360n2 9840b2 118080ex2 |
Quadratic twists by: -4 8 -3 |