Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4700l |
Isogeny class |
Conductor |
4700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
23500000000 = 28 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 3 -3 -5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1708,25588] |
[a1,a2,a3,a4,a6] |
j |
1102736/47 |
j-invariant |
L |
2.3772405144918 |
L(r)(E,1)/r! |
Ω |
1.1886202572459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18800bk1 75200bx1 42300z1 4700i1 |
Quadratic twists by: -4 8 -3 5 |