Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400bj |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2489452840000000000 = 212 · 510 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1057075,-411372750] |
[a1,a2,a3,a4,a6] |
Generators |
[-65889065:-204465000:103823] |
Generators of the group modulo torsion |
j |
2041085246738049/38897700625 |
j-invariant |
L |
5.5228206660727 |
L(r)(E,1)/r! |
Ω |
0.14906503836733 |
Real period |
R |
9.2624345818609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001435 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4025c2 12880q2 |
Quadratic twists by: -4 5 |