Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770g |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-517694458410000 = -1 · 24 · 38 · 54 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6255,1112701] |
[a1,a2,a3,a4,a6] |
j |
-37129335824881/710143290000 |
j-invariant |
L |
1.7565792534621 |
L(r)(E,1)/r! |
Ω |
0.43914481336552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160bk3 1590p4 23850ct3 |
Quadratic twists by: -4 -3 5 |