Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360p |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
3884653012500000000 = 28 · 33 · 511 · 135 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-539401,-119228099] |
[a1,a2,a3,a4,a6] |
Generators |
[-417:5746:1] |
Generators of the group modulo torsion |
j |
67798454456008858624/15174425830078125 |
j-invariant |
L |
4.804419735969 |
L(r)(E,1)/r! |
Ω |
0.17898557193467 |
Real period |
R |
2.6842497325615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720r1 |
Quadratic twists by: -4 |