Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966bk |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
31933442644488 = 23 · 36 · 72 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45203,-3677781] |
[a1,a2,a3,a4,a6] |
j |
14011639427134441/43804448072 |
j-invariant |
L |
7.8596165383866 |
L(r)(E,1)/r! |
Ω |
0.32748402243668 |
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 |
4774b2 |
Quadratic twists by: -3 |