Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834m |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
2.6586038439143E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1419817,-602185300] |
[a1,a2,a3,a4,a6] |
Generators |
[1564:30896:1] |
Generators of the group modulo torsion |
j |
134241322342427/11275075584 |
j-invariant |
L |
5.6722100137075 |
L(r)(E,1)/r! |
Ω |
0.13904544156603 |
Real period |
R |
6.7989883377069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502bl1 42834bc1 |
Quadratic twists by: -3 -11 |