Atkin-Lehner |
2+ 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042i |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-5228225150148 = -1 · 22 · 315 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4890,-173592] |
[a1,a2,a3,a4,a6] |
j |
-263993340837625/106698472452 |
j-invariant |
L |
1.1195266493963 |
L(r)(E,1)/r! |
Ω |
0.27988166237134 |
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 |
126126fm1 42042y1 |
Quadratic twists by: -3 -7 |