Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4165j |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
50000825 = 52 · 76 · 17 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-418,3231] |
[a1,a2,a3,a4,a6] |
Generators |
[15:12:1] |
Generators of the group modulo torsion |
j |
68417929/425 |
j-invariant |
L |
3.2072490195292 |
L(r)(E,1)/r! |
Ω |
2.015252839605 |
Real period |
R |
1.5914871605678 |
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 |
66640cf1 37485bd1 20825s1 85a1 |
Quadratic twists by: -4 -3 5 -7 |