Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bn |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-39876022080000000 = -1 · 212 · 32 · 57 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64992,-7207488] |
[a1,a2,a3,a4,a6] |
Generators |
[1354:23477:8] |
Generators of the group modulo torsion |
j |
474369503399/623062845 |
j-invariant |
L |
5.6395664651449 |
L(r)(E,1)/r! |
Ω |
0.19382137383057 |
Real period |
R |
7.2741802855621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989173 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4575f4 14640bj4 |
Quadratic twists by: -4 5 |