Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640ca |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-842630265483264000 = -1 · 215 · 320 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,235935,2124225] |
[a1,a2,a3,a4,a6] |
Generators |
[352:11343:1] |
Generators of the group modulo torsion |
j |
44325031294506808/25715034957375 |
j-invariant |
L |
6.6712399728529 |
L(r)(E,1)/r! |
Ω |
0.16932991780272 |
Real period |
R |
6.5663135213146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640da3 28320k2 |
Quadratic twists by: -4 8 |