Atkin-Lehner |
2+ 3+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57072b |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
635553792 = 211 · 32 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1720,-26864] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:4:1] |
Generators of the group modulo torsion |
j |
274935976562/310329 |
j-invariant |
L |
3.0452326040536 |
L(r)(E,1)/r! |
Ω |
0.74135434413291 |
Real period |
R |
1.0269153435402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28536d2 |
Quadratic twists by: -4 |