Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6240z |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
465593334336000 = 29 · 316 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227520,-41682600] |
[a1,a2,a3,a4,a6] |
j |
2543984126301795848/909361981125 |
j-invariant |
L |
2.6232221058514 |
L(r)(E,1)/r! |
Ω |
0.21860184215428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6240bf3 12480co3 18720j3 31200p4 |
Quadratic twists by: -4 8 -3 5 |