Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944bc |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
-14157279833145344 = -1 · 214 · 711 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -3 3 7- 0 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53909,3092122] |
[a1,a2,a3,a4,a6] |
Generators |
[453:10976:1] |
Generators of the group modulo torsion |
j |
4230070364747583/3456367146764 |
j-invariant |
L |
4.789568707656 |
L(r)(E,1)/r! |
Ω |
0.25571468952673 |
Real period |
R |
0.4256847131705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118f1 |
Quadratic twists by: -4 |