Atkin-Lehner |
2+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
30550j |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-488800000000 = -1 · 211 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9992,388416] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:859:1] |
Generators of the group modulo torsion |
j |
-282452486265/1251328 |
j-invariant |
L |
4.4679662619426 |
L(r)(E,1)/r! |
Ω |
0.93683848847955 |
Real period |
R |
4.7691958826263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550r1 |
Quadratic twists by: 5 |