Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038o |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1101747473592192 = 27 · 311 · 77 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30213679113,-2021398361820531] |
[a1,a2,a3,a4,a6] |
Generators |
[7071630976809222213444323347626445236645450379046187354846495:-2914414568500619780743400633815480993953682868985460597608969899:23967034973550914510454880597130105505235731031391264967] |
Generators of the group modulo torsion |
j |
35564669815710772986504708097/12845952 |
j-invariant |
L |
4.3950669179619 |
L(r)(E,1)/r! |
Ω |
0.011451138081655 |
Real period |
R |
95.952622495294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346be3 7434e3 |
Quadratic twists by: -3 -7 |