Atkin-Lehner |
2+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29848a |
Isogeny class |
Conductor |
29848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
20475728 = 24 · 74 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194,1017] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:5:1] |
Generators of the group modulo torsion |
j |
50467166208/1279733 |
j-invariant |
L |
6.1005401888018 |
L(r)(E,1)/r! |
Ω |
2.1539637106751 |
Real period |
R |
2.8322390756015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59696d1 |
Quadratic twists by: -4 |