Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588k |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-196816343829670656 = -1 · 28 · 36 · 75 · 137 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -2 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-888264,-322932636] |
[a1,a2,a3,a4,a6] |
Generators |
[1092:3042:1] |
Generators of the group modulo torsion |
j |
-86044336128/218491 |
j-invariant |
L |
4.0512715126897 |
L(r)(E,1)/r! |
Ω |
0.077744196964431 |
Real period |
R |
2.1712614739895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4732b1 3276k1 |
Quadratic twists by: -3 13 |