Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770bc |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-10853133300 = -1 · 22 · 36 · 52 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122,5069] |
[a1,a2,a3,a4,a6] |
j |
-273359449/14887700 |
j-invariant |
L |
4.2399003492341 |
L(r)(E,1)/r! |
Ω |
1.0599750873085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38160bx1 530a1 23850be1 |
Quadratic twists by: -4 -3 5 |