Atkin-Lehner |
2+ 3- 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538g |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-489541540629184512 = -1 · 236 · 3 · 74 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,61030,33164108] |
[a1,a2,a3,a4,a6] |
Generators |
[1440404016948234:-134840667933897544:166284266499] |
Generators of the group modulo torsion |
j |
25139929260708655847/489541540629184512 |
j-invariant |
L |
5.7912768178463 |
L(r)(E,1)/r! |
Ω |
0.22007053954922 |
Real period |
R |
26.315547867993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124614m1 |
Quadratic twists by: -3 |