Atkin-Lehner |
2- 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042cu |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
165966906661011456 = 226 · 3 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1017731,-394780863] |
[a1,a2,a3,a4,a6] |
j |
20222666908086769/28789702656 |
j-invariant |
L |
3.9084249741844 |
L(r)(E,1)/r! |
Ω |
0.15032403747059 |
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 |
126126bl1 42042by1 |
Quadratic twists by: -3 -7 |