Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042bc |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
239885282548207296 = 26 · 310 · 79 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1502905,-708895204] |
[a1,a2,a3,a4,a6] |
Generators |
[-701:890:1] |
Generators of the group modulo torsion |
j |
9303267841891759/5944580928 |
j-invariant |
L |
5.8166270739895 |
L(r)(E,1)/r! |
Ω |
0.13635886070154 |
Real period |
R |
2.1328379556932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fq2 42042o2 |
Quadratic twists by: -3 -7 |