Atkin-Lehner |
3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4275d |
Isogeny class |
Conductor |
4275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
64125 = 33 · 53 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1520,23182] |
[a1,a2,a3,a4,a6] |
Generators |
[19:20:1] |
Generators of the group modulo torsion |
j |
115003963647/19 |
j-invariant |
L |
2.1113673960498 |
L(r)(E,1)/r! |
Ω |
2.7410859372914 |
Real period |
R |
0.77026676446933 |
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 |
68400dt2 4275b2 4275a2 81225l2 |
Quadratic twists by: -4 -3 5 -19 |