Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730j |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4904531197280 = 25 · 5 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1786592429,-29065625520827] |
[a1,a2,a3,a4,a6] |
Generators |
[5735720365399145310885225584111122055884830913:6042669388282631873901380701637698024410281496616:5155340486440226801813143600800696460021] |
Generators of the group modulo torsion |
j |
355995140004443961140387841/2768480 |
j-invariant |
L |
3.4788109567733 |
L(r)(E,1)/r! |
Ω |
0.023221655738775 |
Real period |
R |
74.904455476975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125840cc4 78650cc4 1430h4 |
Quadratic twists by: -4 5 -11 |