Atkin-Lehner |
2- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
63440k |
Isogeny class |
Conductor |
63440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1649440000 = -1 · 28 · 54 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,217,-1518] |
[a1,a2,a3,a4,a6] |
Generators |
[66:231:8] |
Generators of the group modulo torsion |
j |
4414311216/6443125 |
j-invariant |
L |
3.4698401054663 |
L(r)(E,1)/r! |
Ω |
0.79415659580653 |
Real period |
R |
4.3692139862424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15860c2 |
Quadratic twists by: -4 |