Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770bi |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-23182200 = -1 · 23 · 37 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58,141] |
[a1,a2,a3,a4,a6] |
Generators |
[11:39:1] |
Generators of the group modulo torsion |
j |
30080231/31800 |
j-invariant |
L |
5.3779139885227 |
L(r)(E,1)/r! |
Ω |
1.4148153467172 |
Real period |
R |
0.15838091524927 |
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 |
38160ch1 1590b1 23850r1 |
Quadratic twists by: -4 -3 5 |