Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600cy |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
68173755840000000 = 212 · 33 · 57 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-311408,-65800812] |
[a1,a2,a3,a4,a6] |
Generators |
[703:7950:1] [-332:1050:1] |
Generators of the group modulo torsion |
j |
52183647114409/1065214935 |
j-invariant |
L |
11.520451255425 |
L(r)(E,1)/r! |
Ω |
0.202351261883 |
Real period |
R |
2.3722056281881 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3975d4 12720n3 |
Quadratic twists by: -4 5 |