Atkin-Lehner |
2+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
5050c |
Isogeny class |
Conductor |
5050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20402000 = 24 · 53 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-437,3621] |
[a1,a2,a3,a4,a6] |
Generators |
[14:3:1] |
Generators of the group modulo torsion |
j |
73929353373/163216 |
j-invariant |
L |
2.411054928879 |
L(r)(E,1)/r! |
Ω |
2.1641370292948 |
Real period |
R |
0.55704765831409 |
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 |
40400t2 45450ck2 5050e2 |
Quadratic twists by: -4 -3 5 |