Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
3894k |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
197836592675521536 = 210 · 32 · 116 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295037,57728531] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:10732:1] |
Generators of the group modulo torsion |
j |
2840228325499539204433/197836592675521536 |
j-invariant |
L |
4.5900445064528 |
L(r)(E,1)/r! |
Ω |
0.31166057680176 |
Real period |
R |
1.472770330324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31152bd2 124608br2 11682h2 97350x2 |
Quadratic twists by: -4 8 -3 5 |