Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628k |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4787457957873347328 = 28 · 37 · 116 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-814935,-262864514] |
[a1,a2,a3,a4,a6] |
Generators |
[-550:4356:1] [-418:2178:1] |
Generators of the group modulo torsion |
j |
181037698000/14480427 |
j-invariant |
L |
9.5364889904391 |
L(r)(E,1)/r! |
Ω |
0.15970459700346 |
Real period |
R |
7.4641628742773 |
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 |
18876h4 468d4 |
Quadratic twists by: -3 -11 |