Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042r |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3936770838 = 2 · 32 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5709,163647] |
[a1,a2,a3,a4,a6] |
Generators |
[41:4:1] |
Generators of the group modulo torsion |
j |
174958262857/33462 |
j-invariant |
L |
4.1648112333605 |
L(r)(E,1)/r! |
Ω |
1.3522319051982 |
Real period |
R |
0.76998834618195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126eu2 858c2 |
Quadratic twists by: -3 -7 |