Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bg |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-546546 = -1 · 2 · 3 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-215,-1228] |
[a1,a2,a3,a4,a6] |
j |
-22281070777/11154 |
j-invariant |
L |
1.2474385049784 |
L(r)(E,1)/r! |
Ω |
0.62371925248177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126ga1 42042b1 |
Quadratic twists by: -3 -7 |