Atkin-Lehner |
2- 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
65296x |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5982941837852672 = 216 · 76 · 114 · 53 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58528,3962100] |
[a1,a2,a3,a4,a6] |
Generators |
[922:-27104:1] [12:1806:1] |
Generators of the group modulo torsion |
j |
5413301743326625/1460679159632 |
j-invariant |
L |
7.3291317512273 |
L(r)(E,1)/r! |
Ω |
0.39718347363414 |
Real period |
R |
1.537730091538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162h2 |
Quadratic twists by: -4 |