Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770bd |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
563327460 = 22 · 312 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-212,371] |
[a1,a2,a3,a4,a6] |
j |
1439069689/772740 |
j-invariant |
L |
2.8639793949407 |
L(r)(E,1)/r! |
Ω |
1.4319896974704 |
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 |
38160bt1 1590h1 23850bb1 |
Quadratic twists by: -4 -3 5 |