Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042dl |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
303131354526 = 2 · 32 · 77 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32782,2281670] |
[a1,a2,a3,a4,a6] |
Generators |
[1222:6739:8] |
Generators of the group modulo torsion |
j |
33116363266897/2576574 |
j-invariant |
L |
12.740735412798 |
L(r)(E,1)/r! |
Ω |
0.92434788416886 |
Real period |
R |
3.4458713085757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126bx2 6006s2 |
Quadratic twists by: -3 -7 |