Atkin-Lehner |
3- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
4731c |
Isogeny class |
Conductor |
4731 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-626047595379 = -1 · 314 · 19 · 832 |
Discriminant |
Eigenvalues |
0 3- -1 -5 -3 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4531,121912] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3361:1] |
Generators of the group modulo torsion |
j |
-10289677060440064/626047595379 |
j-invariant |
L |
2.9619136903436 |
L(r)(E,1)/r! |
Ω |
0.89986483841432 |
Real period |
R |
0.11755391174567 |
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 |
75696i1 14193a1 118275a1 89889c1 |
Quadratic twists by: -4 -3 5 -19 |