Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bg |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
5377598899200000000 = 216 · 33 · 58 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1798001,-921385852] |
[a1,a2,a3,a4,a6] |
Generators |
[-802:2619:1] |
Generators of the group modulo torsion |
j |
41140837251274049281/344166329548800 |
j-invariant |
L |
5.7840060221954 |
L(r)(E,1)/r! |
Ω |
0.13044314227947 |
Real period |
R |
3.695100358873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570u1 |
Quadratic twists by: 5 |