Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400dn |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1907070297440256000 = 221 · 316 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-582273,-157776417] |
[a1,a2,a3,a4,a6] |
Generators |
[-531:1404:1] |
Generators of the group modulo torsion |
j |
666276475992821/58199166792 |
j-invariant |
L |
9.0377244994394 |
L(r)(E,1)/r! |
Ω |
0.17379266177165 |
Real period |
R |
1.6250910006248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400fs2 1950u2 62400by2 |
Quadratic twists by: -4 8 5 |