Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350q |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.3373673223173E+29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1383980525,-9119078459875] |
[a1,a2,a3,a4,a6] |
Generators |
[-168236830:-7610292385:24389] |
Generators of the group modulo torsion |
j |
464955364840944779047/212103737413882880 |
j-invariant |
L |
7.1097860593492 |
L(r)(E,1)/r! |
Ω |
0.025845458637605 |
Real period |
R |
6.8772101890752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270l2 56350t2 |
Quadratic twists by: 5 -7 |