Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350ch |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2.8369058157344E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5188595013,143852113693531] |
[a1,a2,a3,a4,a6] |
j |
60988245367621825/112 |
j-invariant |
L |
3.458245924346 |
L(r)(E,1)/r! |
Ω |
0.096062386790554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350bk2 42350h2 |
Quadratic twists by: 5 -11 |