Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
40248d |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3704064 |
Modular degree for the optimal curve |
Δ |
-3.3021968777741E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 -4 13- 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104268243,-409804096626] |
[a1,a2,a3,a4,a6] |
Generators |
[86070:25064442:1] |
Generators of the group modulo torsion |
j |
-2267180835818076947489814/597185488602079 |
j-invariant |
L |
5.8993810753995 |
L(r)(E,1)/r! |
Ω |
0.023622808987881 |
Real period |
R |
5.946009818235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80496f1 40248t1 |
Quadratic twists by: -4 -3 |