Atkin-Lehner |
2- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48944j |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
1.1468710449936E+19 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22241504,40365566836] |
[a1,a2,a3,a4,a6] |
Generators |
[2746:2048:1] [3004:25870:1] |
Generators of the group modulo torsion |
j |
297068250173962064073697/2799978137191424 |
j-invariant |
L |
5.7957249167364 |
L(r)(E,1)/r! |
Ω |
0.20446897722143 |
Real period |
R |
14.172626565401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118m1 |
Quadratic twists by: -4 |