Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320cs |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
23335106641920 = 217 · 312 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58145,-5410977] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:48:1] [298:1953:1] |
Generators of the group modulo torsion |
j |
165866385031058/178032735 |
j-invariant |
L |
11.031177630835 |
L(r)(E,1)/r! |
Ω |
0.3074672238369 |
Real period |
R |
2.9897977127487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320q4 16080c3 |
Quadratic twists by: -4 8 |