Atkin-Lehner |
3- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
4029b |
Isogeny class |
Conductor |
4029 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
326349 = 35 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3- -3 1 -4 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] |
Generators of the group modulo torsion |
j |
575930368/326349 |
j-invariant |
L |
2.9752270402749 |
L(r)(E,1)/r! |
Ω |
2.5245655623872 |
Real period |
R |
0.23570210135177 |
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 |
64464i1 12087h1 100725a1 68493d1 |
Quadratic twists by: -4 -3 5 17 |