Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410bl |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-374561832960 = -1 · 221 · 36 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1427,-35661] |
[a1,a2,a3,a4,a6] |
Generators |
[59:258:1] |
Generators of the group modulo torsion |
j |
-8990558521/10485760 |
j-invariant |
L |
5.5725831120903 |
L(r)(E,1)/r! |
Ω |
0.37168347848328 |
Real period |
R |
0.35697188056162 |
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 |
35280fp2 490b2 22050bn2 4410ba2 |
Quadratic twists by: -4 -3 5 -7 |