Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950es |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-191056320000000 = -1 · 212 · 38 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14395,14397] |
[a1,a2,a3,a4,a6] |
Generators |
[29:660:1] |
Generators of the group modulo torsion |
j |
28962726911/16773120 |
j-invariant |
L |
10.002830912172 |
L(r)(E,1)/r! |
Ω |
0.33972504859601 |
Real period |
R |
0.61341461729536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650l1 8190p1 |
Quadratic twists by: -3 5 |