Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320cs |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5361632870400 = 216 · 36 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4545,-40257] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:192:1] [-54:225:1] |
Generators of the group modulo torsion |
j |
158467787716/81812025 |
j-invariant |
L |
11.031177630835 |
L(r)(E,1)/r! |
Ω |
0.6149344476738 |
Real period |
R |
2.9897977127487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999657 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64320q2 16080c2 |
Quadratic twists by: -4 8 |