Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4700f |
Isogeny class |
Conductor |
4700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
23500000000 = 28 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 5 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2575,49750] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:250:1] |
Generators of the group modulo torsion |
j |
472058064/5875 |
j-invariant |
L |
2.6170229881238 |
L(r)(E,1)/r! |
Ω |
1.2046109448363 |
Real period |
R |
0.18104206170893 |
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 |
18800x1 75200ba1 42300s1 940b1 |
Quadratic twists by: -4 8 -3 5 |