Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834u |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1501160364 = -1 · 22 · 34 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,113,-1759] |
[a1,a2,a3,a4,a6] |
Generators |
[15:52:1] |
Generators of the group modulo torsion |
j |
119823157/1127844 |
j-invariant |
L |
8.531976386661 |
L(r)(E,1)/r! |
Ω |
0.74610684552239 |
Real period |
R |
2.8588319614865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502j2 42834b2 |
Quadratic twists by: -3 -11 |