Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4700c |
Isogeny class |
Conductor |
4700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
940000000 = 28 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -1 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-508,3988] |
[a1,a2,a3,a4,a6] |
Generators |
[3:50:1] |
Generators of the group modulo torsion |
j |
3631696/235 |
j-invariant |
L |
4.2279547061873 |
L(r)(E,1)/r! |
Ω |
1.5417143282476 |
Real period |
R |
1.3711861622876 |
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 |
18800u1 75200v1 42300n1 940d1 |
Quadratic twists by: -4 8 -3 5 |