Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4550j |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
509600000000000 = 214 · 511 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28625,1503125] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:1885:1] |
Generators of the group modulo torsion |
j |
166021325905681/32614400000 |
j-invariant |
L |
3.8025259148559 |
L(r)(E,1)/r! |
Ω |
0.4954177192862 |
Real period |
R |
3.8376967222071 |
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 |
36400bn1 40950er1 910k1 31850o1 |
Quadratic twists by: -4 -3 5 -7 |