Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bd |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-2360248848222016752 = -1 · 24 · 32 · 714 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-445926,136345192] |
[a1,a2,a3,a4,a6] |
j |
-83353234419015625/20061784190448 |
j-invariant |
L |
2.9575628604407 |
L(r)(E,1)/r! |
Ω |
0.24646357169745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ft1 6006a1 |
Quadratic twists by: -3 -7 |